The arithmetic of elliptic curves

Identifieur interne : 001948 ( Istex/Curation ); précédent : 001947; suivant : 001949

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The arithmetic of elliptic curves

Auteurs : John T. Tate [États-Unis]

Source :

• Inventiones mathematicae [ 0020-9910 ] ; 1974-09-01.

RBID : ISTEX:7BB3B04F7E4AAE21CD63EA650B39C0BA64666F36

English descriptors

• KwdEn :
  • Abehan, Abehan varieties, Abelian, Abelian varieties, Algebraic, Algebraic integer, Algebraic variety, Analytic theory, Angewandte math, Birch, Certain integer, Characteristic polynomial, Coefficient, Complex field, Complex multiplication, Computer search, Congres intern, Congruence subgroup, Conjecture, Courbes, Courbes elliptiques, Courbes elliptlques, Cyclotomic theory, Differential form, Diophantine equation, Diophantine equations, Elhptic curves, Elhptlc curves, Elliptic, Elliptic curve, Elliptic curves, Elliptic functions, Finite number, Finite order, First examples, Formal expansion, Formal group, Formal groups, Free module, Functional equation, Functions fields, Galois group, Galois groups, General theory, Genus, Good reduction, Ground field, Hecke operators, Higher genus, Homomorphism, Immediate consequence, Infinite cyclic, Inseparable part, Integer, Integer coefficients, Inventiones math, Isogeny, Isogeny classes, Isomorphic, Isomorphism, Last section, Lecture notes, Local fields, Math, Modular, Modular curve, Modular curves, Modular form, Modular forms, Modular functions, Multiplicative, Multiplicative group, Multiplicative reduction, N6ron, Nauk, Node, Number field, Number fields, Number theory, Other cases, Other words, Overwhelming evidence, Proc, Rational curve, Rational field, Rational functions, Rational points, Residue field, Resp, Serre, Shafarevitch, Shafarevitch group, Shimura, Small conductor, Special fiber, Split multiplicative reduction, Subgroup, Supersingular, Tate, Torsion, Torsion subgroup, Upper half plane, Weierstrass, Weierstrass equation, Weierstrass model, Weierstrass models, Wild ramification, Zeta, Zeta function, Zeta functions.
• Teeft :
  • Abehan, Abehan varieties, Abelian, Abelian varieties, Algebraic, Algebraic integer, Algebraic variety, Analytic theory, Angewandte math, Birch, Certain integer, Characteristic polynomial, Coefficient, Complex field, Complex multiplication, Computer search, Congres intern, Congruence subgroup, Conjecture, Courbes, Courbes elliptiques, Courbes elliptlques, Cyclotomic theory, Differential form, Diophantine equation, Diophantine equations, Elhptic curves, Elhptlc curves, Elliptic, Elliptic curve, Elliptic curves, Elliptic functions, Finite number, Finite order, First examples, Formal expansion, Formal group, Formal groups, Free module, Functional equation, Functions fields, Galois group, Galois groups, General theory, Genus, Good reduction, Ground field, Hecke operators, Higher genus, Homomorphism, Immediate consequence, Infinite cyclic, Inseparable part, Integer, Integer coefficients, Inventiones math, Isogeny, Isogeny classes, Isomorphic, Isomorphism, Last section, Lecture notes, Local fields, Math, Modular, Modular curve, Modular curves, Modular form, Modular forms, Modular functions, Multiplicative, Multiplicative group, Multiplicative reduction, N6ron, Nauk, Node, Number field, Number fields, Number theory, Other cases, Other words, Overwhelming evidence, Proc, Rational curve, Rational field, Rational functions, Rational points, Residue field, Resp, Serre, Shafarevitch, Shafarevitch group, Shimura, Small conductor, Special fiber, Split multiplicative reduction, Subgroup, Supersingular, Tate, Torsion, Torsion subgroup, Upper half plane, Weierstrass, Weierstrass equation, Weierstrass model, Weierstrass models, Wild ramification, Zeta, Zeta function, Zeta functions.

Url:

• https://api.istex.fr/document/7BB3B04F7E4AAE21CD63EA650B39C0BA64666F36/fulltext/pdf

DOI: 10.1007/BF01389745

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