Building bridges between Tate conjectures and arithmetic invariants
Algebraic Geometry
2024-09-23 v2 Number Theory
Abstract
In this paper, we clarify and build connections between various conjectures largely motivated by the works of Jean-Pierre Serre and John Tate. We closely study the Tate conjecture for algebraic cycles as well as their motivic generalizations along with various links to Nagao's conjecture.
Keywords
Cite
@article{arxiv.2011.13525,
title = {Building bridges between Tate conjectures and arithmetic invariants},
author = {Victoria Cantoral-Farfan and Seoyoung Kim},
journal= {arXiv preprint arXiv:2011.13525},
year = {2024}
}
Comments
Theorem 2.4 and Theorem 2.6 should be described in an object-specific way. Hence the current stated results are incorrect.