The fullness conjectures for products of elliptic curves
Bruno Kahn, with an appendix by Cyril Demarche
TL;DR
This paper proves all conjectures related to motives for products of elliptic curves, offering simpler and more uniform proofs than previous methods.
Contribution
It provides a comprehensive proof of the fullness conjectures for products of elliptic curves, improving upon prior approaches in simplicity and uniformity.
Findings
Confirmed all conjectures from chapter 7 of André's book for products of elliptic curves.
Provided simpler, more uniform proofs compared to previous work.
Enhanced understanding of motives in the context of elliptic curve products.
Abstract
We prove all conjectures from chapter 7 of Yves Andr\'e's book on motives 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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research