Tate conjecture and mixed perverse sheaves
代数几何
2007-06-12 v4
摘要
Using the theory of mixed perverse sheaves, we extend arguments on the Hodge conjecture initiated by Lefschetz and Griffiths to the case of the Tate conjecture, and show that the Tate conjecture for divisors is closely related to the de Rham conjecture for nonproper varieties, finiteness of the Tate-Shafarevich groups, and also to some conjectures in the analytic number theory.
引用
@article{arxiv.math/0603622,
title = {Tate conjecture and mixed perverse sheaves},
author = {Morihiko Saito},
journal= {arXiv preprint arXiv:math/0603622},
year = {2007}
}
备注
24 pages