Cycle conjectures and birational invariants over finite fields

Autor:	Balkan, Samet, Schreieder, Stefan
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory 14C15 14C25
Druh dokumentu:	Working Paper
Popis:	We study a natural birational invariant for varieties over finite fields and show that its vanishing on projective space is equivalent to the Tate conjecture, the Beilinson conjecture, and the Grothendieck--Serre semi-simplicity conjecture for all smooth projective varieties over finite fields. We further show that the Tate, Beilinson, and 1-semi-simplicity conjecture in half of the degrees implies those conjectures in all degrees. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.14438 Zobrazit plný text záznamu View this record from Arxiv