On the new theory of 1-motives
Number Theory
2024-02-01 v1 Algebraic Geometry
Abstract
This is a letter (not intended for publication in a regular journal) written in response to two referees of my preprint "Local duality theorems for commutative algebraic groups". In it, I discuss possible applications of the new theory of 1-motives introduced in that preprint. One of these is a new approach to the BSD conjecture for abelian varieties over global fields (developed here only partially) which builds on Bloch's well-known volume-theoretic interpretation of the conjecture in the number field case.
Keywords
Cite
@article{arxiv.2401.17960,
title = {On the new theory of 1-motives},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:2401.17960},
year = {2024}
}
Comments
27 pages