Moduli for principal bundles over algebraic curves: I
Identifieur interne : 001A70 ( Main/Exploration ); précédent : 001A69; suivant : 001A71Moduli for principal bundles over algebraic curves: I
Auteurs : A. Ramanathan [Inde]Source :
- Proceedings of the Indian Academy of Sciences - Mathematical Sciences [ 0253-4142 ] ; 1996-08-01.
English descriptors
- KwdEn :
- Acts trivially, Admissible reduction, Algebra, Algebra structure, Algebraic, Coarse moduli scheme, Compact riemann surface, Dominant character, Equivalence classes, Fiat topology, Functor, Good quotient, Homomorphism, Ideal sheaf, Induction hypothesis, Irreducible, Isomorphic, Isomorphism, Isomorphism classes, Lemma, Levi, Levi component, Levi decomposition, Maximal, Maximal parabolic subgroup, Modulo, Modulus, Morphism, Multicone, Natural morphism, Open subset, Parabolic, Parabolic subgroup, Parabolic subgroups, Principal bundles, Proper parabolic subgroup, Proper parabolic subgroups, Quotient, Ramanathan, Reductive, Resp, Riemann, Semisimple, Semisimple rank, Semistable, Semistable vector bundle, Seshadri, Sheaf, Stabilizer, Structure group, Structure sheaf, Subgroup, Subscheme, Subset, Topologically isomorphic, Topology, Unitary, Universal family, Vector bundle, Vector bundles, compact Riemann surface, geometric invariant theory, reductive algebraic groups.
- Teeft :
- Acts trivially, Admissible reduction, Algebra, Algebra structure, Algebraic, Coarse moduli scheme, Compact riemann surface, Dominant character, Equivalence classes, Fiat topology, Functor, Good quotient, Homomorphism, Ideal sheaf, Induction hypothesis, Irreducible, Isomorphic, Isomorphism, Isomorphism classes, Lemma, Levi, Levi component, Levi decomposition, Maximal, Maximal parabolic subgroup, Modulo, Modulus, Morphism, Multicone, Natural morphism, Open subset, Parabolic, Parabolic subgroup, Parabolic subgroups, Principal bundles, Proper parabolic subgroup, Proper parabolic subgroups, Quotient, Ramanathan, Reductive, Resp, Riemann, Semisimple, Semisimple rank, Semistable, Semistable vector bundle, Seshadri, Sheaf, Stabilizer, Structure group, Structure sheaf, Subgroup, Subscheme, Subset, Topologically isomorphic, Topology, Unitary, Universal family, Vector bundle, Vector bundles.
Abstract
Abstract: We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford's geometric invarian theory.
Url:
DOI: 10.1007/BF02867438
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001C41
- to stream Istex, to step Curation: 001C41
- to stream Istex, to step Checkpoint: 001872
- to stream Main, to step Merge: 001A90
- to stream Main, to step Curation: 001A70
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Moduli for principal bundles over algebraic curves: I</title>
<author><name sortKey="Ramanathan, A" sort="Ramanathan, A" uniqKey="Ramanathan A" first="A" last="Ramanathan">A. Ramanathan</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:8A9CDF1896F503009EBE8AA6DB54621E2BAE0996</idno>
<date when="1996" year="1996">1996</date>
<idno type="doi">10.1007/BF02867438</idno>
<idno type="url">https://api.istex.fr/document/8A9CDF1896F503009EBE8AA6DB54621E2BAE0996/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001C41</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001C41</idno>
<idno type="wicri:Area/Istex/Curation">001C41</idno>
<idno type="wicri:Area/Istex/Checkpoint">001872</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001872</idno>
<idno type="wicri:doubleKey">0253-4142:1996:Ramanathan A:moduli:for:principal</idno>
<idno type="wicri:Area/Main/Merge">001A90</idno>
<idno type="wicri:Area/Main/Curation">001A70</idno>
<idno type="wicri:Area/Main/Exploration">001A70</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Moduli for principal bundles over algebraic curves: I</title>
<author><name sortKey="Ramanathan, A" sort="Ramanathan, A" uniqKey="Ramanathan A" first="A" last="Ramanathan">A. Ramanathan</name>
<affiliation wicri:level="1"><country xml:lang="fr">Inde</country>
<wicri:regionArea>School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai</wicri:regionArea>
<wicri:noRegion>Mumbai</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Proceedings of the Indian Academy of Sciences - Mathematical Sciences</title>
<title level="j" type="abbrev">Proc. Indian Acad. Sci. (Math. Sci.)</title>
<idno type="ISSN">0253-4142</idno>
<idno type="eISSN">0973-7685</idno>
<imprint><publisher>Springer India</publisher>
<pubPlace>New Delhi</pubPlace>
<date type="published" when="1996-08-01">1996-08-01</date>
<biblScope unit="volume">106</biblScope>
<biblScope unit="issue">3</biblScope>
<biblScope unit="page" from="301">301</biblScope>
<biblScope unit="page" to="328">328</biblScope>
</imprint>
<idno type="ISSN">0253-4142</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0253-4142</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Acts trivially</term>
<term>Admissible reduction</term>
<term>Algebra</term>
<term>Algebra structure</term>
<term>Algebraic</term>
<term>Coarse moduli scheme</term>
<term>Compact riemann surface</term>
<term>Dominant character</term>
<term>Equivalence classes</term>
<term>Fiat topology</term>
<term>Functor</term>
<term>Good quotient</term>
<term>Homomorphism</term>
<term>Ideal sheaf</term>
<term>Induction hypothesis</term>
<term>Irreducible</term>
<term>Isomorphic</term>
<term>Isomorphism</term>
<term>Isomorphism classes</term>
<term>Lemma</term>
<term>Levi</term>
<term>Levi component</term>
<term>Levi decomposition</term>
<term>Maximal</term>
<term>Maximal parabolic subgroup</term>
<term>Modulo</term>
<term>Modulus</term>
<term>Morphism</term>
<term>Multicone</term>
<term>Natural morphism</term>
<term>Open subset</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Parabolic subgroups</term>
<term>Principal bundles</term>
<term>Proper parabolic subgroup</term>
<term>Proper parabolic subgroups</term>
<term>Quotient</term>
<term>Ramanathan</term>
<term>Reductive</term>
<term>Resp</term>
<term>Riemann</term>
<term>Semisimple</term>
<term>Semisimple rank</term>
<term>Semistable</term>
<term>Semistable vector bundle</term>
<term>Seshadri</term>
<term>Sheaf</term>
<term>Stabilizer</term>
<term>Structure group</term>
<term>Structure sheaf</term>
<term>Subgroup</term>
<term>Subscheme</term>
<term>Subset</term>
<term>Topologically isomorphic</term>
<term>Topology</term>
<term>Unitary</term>
<term>Universal family</term>
<term>Vector bundle</term>
<term>Vector bundles</term>
<term>compact Riemann surface</term>
<term>geometric invariant theory</term>
<term>reductive algebraic groups</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en"><term>Acts trivially</term>
<term>Admissible reduction</term>
<term>Algebra</term>
<term>Algebra structure</term>
<term>Algebraic</term>
<term>Coarse moduli scheme</term>
<term>Compact riemann surface</term>
<term>Dominant character</term>
<term>Equivalence classes</term>
<term>Fiat topology</term>
<term>Functor</term>
<term>Good quotient</term>
<term>Homomorphism</term>
<term>Ideal sheaf</term>
<term>Induction hypothesis</term>
<term>Irreducible</term>
<term>Isomorphic</term>
<term>Isomorphism</term>
<term>Isomorphism classes</term>
<term>Lemma</term>
<term>Levi</term>
<term>Levi component</term>
<term>Levi decomposition</term>
<term>Maximal</term>
<term>Maximal parabolic subgroup</term>
<term>Modulo</term>
<term>Modulus</term>
<term>Morphism</term>
<term>Multicone</term>
<term>Natural morphism</term>
<term>Open subset</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Parabolic subgroups</term>
<term>Principal bundles</term>
<term>Proper parabolic subgroup</term>
<term>Proper parabolic subgroups</term>
<term>Quotient</term>
<term>Ramanathan</term>
<term>Reductive</term>
<term>Resp</term>
<term>Riemann</term>
<term>Semisimple</term>
<term>Semisimple rank</term>
<term>Semistable</term>
<term>Semistable vector bundle</term>
<term>Seshadri</term>
<term>Sheaf</term>
<term>Stabilizer</term>
<term>Structure group</term>
<term>Structure sheaf</term>
<term>Subgroup</term>
<term>Subscheme</term>
<term>Subset</term>
<term>Topologically isomorphic</term>
<term>Topology</term>
<term>Unitary</term>
<term>Universal family</term>
<term>Vector bundle</term>
<term>Vector bundles</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We classify principal bundles on a compact Riemann surface. A moduli space for semistable principal bundles with a reductive structure group is constructed using Mumford's geometric invarian theory.</div>
</front>
</TEI>
<affiliations><list><country><li>Inde</li>
</country>
</list>
<tree><country name="Inde"><noRegion><name sortKey="Ramanathan, A" sort="Ramanathan, A" uniqKey="Ramanathan A" first="A" last="Ramanathan">A. Ramanathan</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001A70 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001A70 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:8A9CDF1896F503009EBE8AA6DB54621E2BAE0996 |texte= Moduli for principal bundles over algebraic curves: I }}
This area was generated with Dilib version V0.6.33. |