The fullness conjectures for products of elliptic curves

Abstract We prove all conjectures of Chapter 7 of Yves André’s book (2004) in the case of products of elliptic curves. The proofs given here are simpler and more uniform than the previous proofs in known cases.

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Journal
Journal für die reine und angewandte Mathematik (Crelles Journal)
Published
2024-11-20
DOI
https://doi.org/10.1515/crelle-2024-0088
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The fullness conjectures for products of elliptic curves

Bruno Kahn
Journal für die reine und angewandte Mathematik (Crelles Journal)
Algebraic Geometry and Number Theory
article

The fullness conjectures for products of elliptic curves

Bruno Kahn
article en

Abstract

Abstract We prove all conjectures of Chapter 7 of Yves André’s book (2004) in the case of products of elliptic curves. The proofs given here are simpler and more uniform than the previous proofs in known cases.

Journal für die reine und angewandte Mathematik (Crelles Journal)Vol. 2025(819)
Centre National de la Recherche Scientifique (FR), Université Paris Cité (FR), Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR), Sorbonne Université (FR)
Openalex Percentile: Top 68%
Algebraic Geometry and Number Theory
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