Variation of the unit root along the Dwork family of Calabi–Yau varieties
Identifieur interne : 000426 ( Istex/Corpus ); précédent : 000425; suivant : 000427Variation of the unit root along the Dwork family of Calabi–Yau varieties
Auteurs : Jeng-Daw YuSource :
- Mathematische Annalen [ 0025-5831 ] ; 2009-01-01.
Abstract
Abstract: We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.
Url:
DOI: 10.1007/s00208-008-0265-9
Links to Exploration step
ISTEX:148BD5EB795703CB4E3E49DB773534240EF58572Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
<author><name sortKey="Yu, Jeng Daw" sort="Yu, Jeng Daw" uniqKey="Yu J" first="Jeng-Daw" last="Yu">Jeng-Daw Yu</name>
<affiliation><mods:affiliation>Department of Mathematics, National Taiwan University, Taipei, Taiwan</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: jdyu@mast.queensu.ca</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:148BD5EB795703CB4E3E49DB773534240EF58572</idno>
<date when="2008" year="2008">2008</date>
<idno type="doi">10.1007/s00208-008-0265-9</idno>
<idno type="url">https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000426</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000426</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
<author><name sortKey="Yu, Jeng Daw" sort="Yu, Jeng Daw" uniqKey="Yu J" first="Jeng-Daw" last="Yu">Jeng-Daw Yu</name>
<affiliation><mods:affiliation>Department of Mathematics, National Taiwan University, Taipei, Taiwan</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: jdyu@mast.queensu.ca</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Mathematische Annalen</title>
<title level="j" type="abbrev">Math. Ann.</title>
<idno type="ISSN">0025-5831</idno>
<idno type="eISSN">1432-1807</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="2009-01-01">2009-01-01</date>
<biblScope unit="volume">343</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="53">53</biblScope>
<biblScope unit="page" to="78">78</biblScope>
</imprint>
<idno type="ISSN">0025-5831</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0025-5831</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.</div>
</front>
</TEI>
<istex><corpusName>springer-journals</corpusName>
<author><json:item><name>Jeng-Daw Yu</name>
<affiliations><json:string>Department of Mathematics, National Taiwan University, Taipei, Taiwan</json:string>
<json:string>E-mail: jdyu@mast.queensu.ca</json:string>
</affiliations>
</json:item>
</author>
<articleId><json:string>265</json:string>
<json:string>s00208-008-0265-9</json:string>
</articleId>
<arkIstex>ark:/67375/VQC-DCJX2QT5-M</arkIstex>
<language><json:string>eng</json:string>
</language>
<originalGenre><json:string>OriginalPaper</json:string>
</originalGenre>
<abstract>Abstract: We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.</abstract>
<qualityIndicators><score>7.636</score>
<pdfWordCount>7516</pdfWordCount>
<pdfCharCount>30603</pdfCharCount>
<pdfVersion>1.3</pdfVersion>
<pdfPageCount>26</pdfPageCount>
<pdfPageSize>439.37 x 666.142 pts</pdfPageSize>
<refBibsNative>false</refBibsNative>
<abstractWordCount>53</abstractWordCount>
<abstractCharCount>293</abstractCharCount>
<keywordCount>0</keywordCount>
</qualityIndicators>
<title>Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
<genre><json:string>research-article</json:string>
</genre>
<host><title>Mathematische Annalen</title>
<language><json:string>unknown</json:string>
</language>
<publicationDate>2008</publicationDate>
<copyrightDate>2009</copyrightDate>
<issn><json:string>0025-5831</json:string>
</issn>
<eissn><json:string>1432-1807</json:string>
</eissn>
<journalId><json:string>208</json:string>
</journalId>
<volume>343</volume>
<issue>1</issue>
<pages><first>53</first>
<last>78</last>
</pages>
<genre><json:string>journal</json:string>
</genre>
<subject><json:item><value>Mathematics, general</value>
</json:item>
</subject>
</host>
<ark><json:string>ark:/67375/VQC-DCJX2QT5-M</json:string>
</ark>
<publicationDate>2009</publicationDate>
<copyrightDate>2008</copyrightDate>
<doi><json:string>10.1007/s00208-008-0265-9</json:string>
</doi>
<id>148BD5EB795703CB4E3E49DB773534240EF58572</id>
<score>1</score>
<fulltext><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/fulltext/pdf</uri>
</json:item>
<json:item><extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/fulltext/zip</uri>
</json:item>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/fulltext/txt</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
<respStmt><resp>Références bibliographiques récupérées via GROBID</resp>
<name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name>
</respStmt>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher scheme="https://publisher-list.data.istex.fr">Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<availability><licence><p>Springer-Verlag, 2008</p>
</licence>
<p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p>
</availability>
<date>2007-08-19</date>
</publicationStmt>
<notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note>
<note type="journal" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</note>
</notesStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
<author xml:id="author-0000" corresp="yes"><persName><forename type="first">Jeng-Daw</forename>
<surname>Yu</surname>
</persName>
<email>jdyu@mast.queensu.ca</email>
<affiliation>Department of Mathematics, National Taiwan University, Taipei, Taiwan</affiliation>
</author>
<idno type="istex">148BD5EB795703CB4E3E49DB773534240EF58572</idno>
<idno type="ark">ark:/67375/VQC-DCJX2QT5-M</idno>
<idno type="DOI">10.1007/s00208-008-0265-9</idno>
<idno type="article-id">265</idno>
<idno type="article-id">s00208-008-0265-9</idno>
</analytic>
<monogr><title level="j">Mathematische Annalen</title>
<title level="j" type="abbrev">Math. Ann.</title>
<idno type="pISSN">0025-5831</idno>
<idno type="eISSN">1432-1807</idno>
<idno type="journal-ID">true</idno>
<idno type="journal-SPIN">3005056</idno>
<idno type="issue-article-count">8</idno>
<idno type="volume-issue-count">4</idno>
<imprint><publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="2009-01-01"></date>
<biblScope unit="volume">343</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="53">53</biblScope>
<biblScope unit="page" to="78">78</biblScope>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>2007-08-19</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<abstract xml:lang="en"><p>Abstract: We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.</p>
</abstract>
<textClass><keywords scheme="Journal Subject"><list><head>Mathematics</head>
<item><term>Mathematics, general</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="2007-08-19">Created</change>
<change when="2009-01-01">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-11-30">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
</fulltext>
<metadata><istex:metadataXml wicri:clean="corpus springer-journals not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document><Publisher><PublisherInfo><PublisherName>Springer-Verlag</PublisherName>
<PublisherLocation>Berlin/Heidelberg</PublisherLocation>
</PublisherInfo>
<Journal OutputMedium="All"><JournalInfo JournalProductType="ArchiveJournal" NumberingStyle="ContentOnly"><JournalID>208</JournalID>
<JournalPrintISSN>0025-5831</JournalPrintISSN>
<JournalElectronicISSN>1432-1807</JournalElectronicISSN>
<JournalSPIN>3005056</JournalSPIN>
<JournalTitle>Mathematische Annalen</JournalTitle>
<JournalAbbreviatedTitle>Math. Ann.</JournalAbbreviatedTitle>
<JournalSubjectGroup><JournalSubject Type="Primary">Mathematics</JournalSubject>
<JournalSubject Type="Secondary">Mathematics, general</JournalSubject>
</JournalSubjectGroup>
</JournalInfo>
<Volume OutputMedium="All"><VolumeInfo TocLevels="0" VolumeType="Regular"><VolumeIDStart>343</VolumeIDStart>
<VolumeIDEnd>343</VolumeIDEnd>
<VolumeIssueCount>4</VolumeIssueCount>
</VolumeInfo>
<Issue IssueType="Regular" OutputMedium="All"><IssueInfo IssueType="Regular" TocLevels="0"><IssueIDStart>1</IssueIDStart>
<IssueIDEnd>1</IssueIDEnd>
<IssueArticleCount>8</IssueArticleCount>
<IssueHistory><OnlineDate><Year>2008</Year>
<Month>10</Month>
<Day>16</Day>
</OnlineDate>
<PrintDate><Year>2008</Year>
<Month>10</Month>
<Day>15</Day>
</PrintDate>
<CoverDate><Year>2009</Year>
<Month>1</Month>
</CoverDate>
<PricelistYear>2009</PricelistYear>
</IssueHistory>
<IssueCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName>
<CopyrightYear>2009</CopyrightYear>
</IssueCopyright>
</IssueInfo>
<Article ID="s00208-008-0265-9" OutputMedium="All"><ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En" NumberingStyle="ContentOnly" TocLevels="0"><ArticleID>265</ArticleID>
<ArticleDOI>10.1007/s00208-008-0265-9</ArticleDOI>
<ArticleSequenceNumber>3</ArticleSequenceNumber>
<ArticleTitle Language="En">Variation of the unit root along the Dwork family of Calabi–Yau varieties</ArticleTitle>
<ArticleFirstPage>53</ArticleFirstPage>
<ArticleLastPage>78</ArticleLastPage>
<ArticleHistory><RegistrationDate><Year>2008</Year>
<Month>6</Month>
<Day>27</Day>
</RegistrationDate>
<Received><Year>2007</Year>
<Month>8</Month>
<Day>19</Day>
</Received>
<OnlineDate><Year>2008</Year>
<Month>7</Month>
<Day>16</Day>
</OnlineDate>
</ArticleHistory>
<ArticleCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName>
<CopyrightYear>2008</CopyrightYear>
</ArticleCopyright>
<ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ArticleGrants>
</ArticleInfo>
<ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Jeng-Daw</GivenName>
<FamilyName>Yu</FamilyName>
</AuthorName>
<Contact><Email>jdyu@mast.queensu.ca</Email>
</Contact>
</Author>
<Affiliation ID="Aff1"><OrgDivision>Department of Mathematics</OrgDivision>
<OrgName>National Taiwan University</OrgName>
<OrgAddress><City>Taipei</City>
<Country Code="TW">Taiwan</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
<Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading>
<Para>We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A <Emphasis Type="Italic">p</Emphasis>
-adic analytic formula for the unit roots away from the Hasse locus is obtained.</Para>
</Abstract>
<ArticleNote Type="Misc"><SimplePara>This work was supported in part by Professor N. Yui’s Discovery Grant from NSERC, Canada.</SimplePara>
</ArticleNote>
</ArticleHeader>
<NoBody></NoBody>
</Article>
</Issue>
</Volume>
</Journal>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo lang="en"><title>Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en"><title>Variation of the unit root along the Dwork family of Calabi–Yau varieties</title>
</titleInfo>
<name type="personal" displayLabel="corresp"><namePart type="given">Jeng-Daw</namePart>
<namePart type="family">Yu</namePart>
<affiliation>Department of Mathematics, National Taiwan University, Taipei, Taiwan</affiliation>
<affiliation>E-mail: jdyu@mast.queensu.ca</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre>
<originInfo><publisher>Springer-Verlag</publisher>
<place><placeTerm type="text">Berlin/Heidelberg</placeTerm>
</place>
<dateCreated encoding="w3cdtf">2007-08-19</dateCreated>
<dateIssued encoding="w3cdtf">2009-01-01</dateIssued>
<dateIssued encoding="w3cdtf">2008</dateIssued>
<copyrightDate encoding="w3cdtf">2008</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<abstract lang="en">Abstract: We study the variation of the unit roots of members of the Dwork families of Calabi–Yau varieties over a finite field by the method of Dwork–Katz and also from the point of view of formal group laws. A p-adic analytic formula for the unit roots away from the Hasse locus is obtained.</abstract>
<relatedItem type="host"><titleInfo><title>Mathematische Annalen</title>
</titleInfo>
<titleInfo type="abbreviated"><title>Math. Ann.</title>
</titleInfo>
<genre type="journal" displayLabel="Archive Journal" authority="ISTEX" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre>
<originInfo><publisher>Springer</publisher>
<dateIssued encoding="w3cdtf">2008-10-16</dateIssued>
<copyrightDate encoding="w3cdtf">2009</copyrightDate>
</originInfo>
<subject><genre>Mathematics</genre>
<topic>Mathematics, general</topic>
</subject>
<identifier type="ISSN">0025-5831</identifier>
<identifier type="eISSN">1432-1807</identifier>
<identifier type="JournalID">208</identifier>
<identifier type="JournalSPIN">3005056</identifier>
<identifier type="IssueArticleCount">8</identifier>
<identifier type="VolumeIssueCount">4</identifier>
<part><date>2009</date>
<detail type="volume"><number>343</number>
<caption>vol.</caption>
</detail>
<detail type="issue"><number>1</number>
<caption>no.</caption>
</detail>
<extent unit="pages"><start>53</start>
<end>78</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer-Verlag, 2009</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">148BD5EB795703CB4E3E49DB773534240EF58572</identifier>
<identifier type="ark">ark:/67375/VQC-DCJX2QT5-M</identifier>
<identifier type="DOI">10.1007/s00208-008-0265-9</identifier>
<identifier type="ArticleID">265</identifier>
<identifier type="ArticleID">s00208-008-0265-9</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 2008</accessCondition>
<recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource>
<recordOrigin>Springer-Verlag, 2008</recordOrigin>
</recordInfo>
</mods>
<json:item><extension>json</extension>
<original>false</original>
<mimetype>application/json</mimetype>
<uri>https://api.istex.fr/document/148BD5EB795703CB4E3E49DB773534240EF58572/metadata/json</uri>
</json:item>
</metadata>
<serie></serie>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000426 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 000426 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:148BD5EB795703CB4E3E49DB773534240EF58572 |texte= Variation of the unit root along the Dwork family of Calabi–Yau varieties }}
This area was generated with Dilib version V0.6.33. |