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Rational isogenies of prime degree

Identifieur interne : 002C80 ( Main/Merge ); précédent : 002C79; suivant : 002C81

Rational isogenies of prime degree

Auteurs : B. Mazur [États-Unis] ; D. Goldfeld [États-Unis]

Source :

Inventiones mathematicae [ 0020-9910 ] ; 1978-06-01.

RBID : ISTEX:D1C3C7E91E610EF71D173C8ECB48EA72E8EE4835

English descriptors

KwdEn :
- 6tale, Abelian, Abelian scheme, Abelian subvarieties, Abelian varieties, Abelian variety, Additive type, Algebraic, Class number, Commutative, Commutative diagram, Corollary, Cotangent, Cotangent space, Courbes elliptiques, Cyclic, Cyclic subgroup, Duality, Eisenstein, Eisenstein quotient, Elliptic, Elliptic curve, Elliptic curves, Exact sequence, Fibre, Finite order, Finite type, Formal completion, Formal immersion, Frobenius, Galois, Galois modules, Genus, Good reduction, Grothendieck, Grothendieck duality, Group scheme, Group schemes, Hecke operators, Homomorphism, Immersion, Infinite order, Integer, Irreducible component, Isogenies, Isogeny, Isogeny character, Isomorphism, Lecture notes, Math, Mazur, Modular curve, Modular curves, Modular functions, Module, Modulus, Morphism, N6ron, N6ron fibre, N6ron model, Natural action, Nauk cccp, Noncuspidal, Nontrivial, Nonzero, Number field, Optimal quotient, Positive genus, Prime degree, Prime number, Prime numbers, Prime order, Primitive root, Proc, Quadratic, Quadratic field, Quotient, Rational isogenies, Rational point, Rational points, Rational primes, Raynaud, Residue field, Riemann, Riemann hypothesis, Rood, Serre, Spec, Specialization lemma, Springer, Strong weil curve, Subgroup, Subgroup scheme, Suffices, Torsion, Unramified, Unramified character.
Teeft :
- 6tale, Abelian, Abelian scheme, Abelian subvarieties, Abelian varieties, Abelian variety, Additive type, Algebraic, Class number, Commutative, Commutative diagram, Corollary, Cotangent, Cotangent space, Courbes elliptiques, Cyclic, Cyclic subgroup, Duality, Eisenstein, Eisenstein quotient, Elliptic, Elliptic curve, Elliptic curves, Exact sequence, Fibre, Finite order, Finite type, Formal completion, Formal immersion, Frobenius, Galois, Galois modules, Genus, Good reduction, Grothendieck, Grothendieck duality, Group scheme, Group schemes, Hecke operators, Homomorphism, Immersion, Infinite order, Integer, Irreducible component, Isogenies, Isogeny, Isogeny character, Isomorphism, Lecture notes, Math, Mazur, Modular curve, Modular curves, Modular functions, Module, Modulus, Morphism, N6ron, N6ron fibre, N6ron model, Natural action, Nauk cccp, Noncuspidal, Nontrivial, Nonzero, Number field, Optimal quotient, Positive genus, Prime degree, Prime number, Prime numbers, Prime order, Primitive root, Proc, Quadratic, Quadratic field, Quotient, Rational isogenies, Rational point, Rational points, Rational primes, Raynaud, Residue field, Riemann, Riemann hypothesis, Rood, Serre, Spec, Specialization lemma, Springer, Strong weil curve, Subgroup, Subgroup scheme, Suffices, Torsion, Unramified, Unramified character.

Url:

https://api.istex.fr/document/D1C3C7E91E610EF71D173C8ECB48EA72E8EE4835/fulltext/pdf

DOI: 10.1007/BF01390348

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Le document en format XML

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<term>Abelian subvarieties</term>
<term>Abelian varieties</term>
<term>Abelian variety</term>
<term>Additive type</term>
<term>Algebraic</term>
<term>Class number</term>
<term>Commutative</term>
<term>Commutative diagram</term>
<term>Corollary</term>
<term>Cotangent</term>
<term>Cotangent space</term>
<term>Courbes elliptiques</term>
<term>Cyclic</term>
<term>Cyclic subgroup</term>
<term>Duality</term>
<term>Eisenstein</term>
<term>Eisenstein quotient</term>
<term>Elliptic</term>
<term>Elliptic curve</term>
<term>Elliptic curves</term>
<term>Exact sequence</term>
<term>Fibre</term>
<term>Finite order</term>
<term>Finite type</term>
<term>Formal completion</term>
<term>Formal immersion</term>
<term>Frobenius</term>
<term>Galois</term>
<term>Galois modules</term>
<term>Genus</term>
<term>Good reduction</term>
<term>Grothendieck</term>
<term>Grothendieck duality</term>
<term>Group scheme</term>
<term>Group schemes</term>
<term>Hecke operators</term>
<term>Homomorphism</term>
<term>Immersion</term>
<term>Infinite order</term>
<term>Integer</term>
<term>Irreducible component</term>
<term>Isogenies</term>
<term>Isogeny</term>
<term>Isogeny character</term>
<term>Isomorphism</term>
<term>Lecture notes</term>
<term>Math</term>
<term>Mazur</term>
<term>Modular curve</term>
<term>Modular curves</term>
<term>Modular functions</term>
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<term>Modulus</term>
<term>Morphism</term>
<term>N6ron</term>
<term>N6ron fibre</term>
<term>N6ron model</term>
<term>Natural action</term>
<term>Nauk cccp</term>
<term>Noncuspidal</term>
<term>Nontrivial</term>
<term>Nonzero</term>
<term>Number field</term>
<term>Optimal quotient</term>
<term>Positive genus</term>
<term>Prime degree</term>
<term>Prime number</term>
<term>Prime numbers</term>
<term>Prime order</term>
<term>Primitive root</term>
<term>Proc</term>
<term>Quadratic</term>
<term>Quadratic field</term>
<term>Quotient</term>
<term>Rational isogenies</term>
<term>Rational point</term>
<term>Rational points</term>
<term>Rational primes</term>
<term>Raynaud</term>
<term>Residue field</term>
<term>Riemann</term>
<term>Riemann hypothesis</term>
<term>Rood</term>
<term>Serre</term>
<term>Spec</term>
<term>Specialization lemma</term>
<term>Springer</term>
<term>Strong weil curve</term>
<term>Subgroup</term>
<term>Subgroup scheme</term>
<term>Suffices</term>
<term>Torsion</term>
<term>Unramified</term>
<term>Unramified character</term>
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<keywords scheme="Teeft" xml:lang="en"><term>6tale</term>
<term>Abelian</term>
<term>Abelian scheme</term>
<term>Abelian subvarieties</term>
<term>Abelian varieties</term>
<term>Abelian variety</term>
<term>Additive type</term>
<term>Algebraic</term>
<term>Class number</term>
<term>Commutative</term>
<term>Commutative diagram</term>
<term>Corollary</term>
<term>Cotangent</term>
<term>Cotangent space</term>
<term>Courbes elliptiques</term>
<term>Cyclic</term>
<term>Cyclic subgroup</term>
<term>Duality</term>
<term>Eisenstein</term>
<term>Eisenstein quotient</term>
<term>Elliptic</term>
<term>Elliptic curve</term>
<term>Elliptic curves</term>
<term>Exact sequence</term>
<term>Fibre</term>
<term>Finite order</term>
<term>Finite type</term>
<term>Formal completion</term>
<term>Formal immersion</term>
<term>Frobenius</term>
<term>Galois</term>
<term>Galois modules</term>
<term>Genus</term>
<term>Good reduction</term>
<term>Grothendieck</term>
<term>Grothendieck duality</term>
<term>Group scheme</term>
<term>Group schemes</term>
<term>Hecke operators</term>
<term>Homomorphism</term>
<term>Immersion</term>
<term>Infinite order</term>
<term>Integer</term>
<term>Irreducible component</term>
<term>Isogenies</term>
<term>Isogeny</term>
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<term>Isomorphism</term>
<term>Lecture notes</term>
<term>Math</term>
<term>Mazur</term>
<term>Modular curve</term>
<term>Modular curves</term>
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<term>Modulus</term>
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<term>N6ron</term>
<term>N6ron fibre</term>
<term>N6ron model</term>
<term>Natural action</term>
<term>Nauk cccp</term>
<term>Noncuspidal</term>
<term>Nontrivial</term>
<term>Nonzero</term>
<term>Number field</term>
<term>Optimal quotient</term>
<term>Positive genus</term>
<term>Prime degree</term>
<term>Prime number</term>
<term>Prime numbers</term>
<term>Prime order</term>
<term>Primitive root</term>
<term>Proc</term>
<term>Quadratic</term>
<term>Quadratic field</term>
<term>Quotient</term>
<term>Rational isogenies</term>
<term>Rational point</term>
<term>Rational points</term>
<term>Rational primes</term>
<term>Raynaud</term>
<term>Residue field</term>
<term>Riemann</term>
<term>Riemann hypothesis</term>
<term>Rood</term>
<term>Serre</term>
<term>Spec</term>
<term>Specialization lemma</term>
<term>Springer</term>
<term>Strong weil curve</term>
<term>Subgroup</term>
<term>Subgroup scheme</term>
<term>Suffices</term>
<term>Torsion</term>
<term>Unramified</term>
<term>Unramified character</term>
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Rational isogenies of prime degree

Rational isogenies of prime degree

Source :

English descriptors

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Links to Exploration step

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