Cycle conjectures and birational invariants over finite fields

Research output: Working paper/PreprintPreprint

Authors

  • Samet Balkan
  • Stefan Schreieder

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 20 Jun 2024

Abstract

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.

Keywords

    math.AG, math.NT, 14C15, 14C25

Cite this

Cycle conjectures and birational invariants over finite fields. / Balkan, Samet; Schreieder, Stefan.
2024.

Research output: Working paper/PreprintPreprint

Balkan, S., & Schreieder, S. (2024). Cycle conjectures and birational invariants over finite fields. Advance online publication.
Balkan S, Schreieder S. Cycle conjectures and birational invariants over finite fields. 2024 Jun 20. Epub 2024 Jun 20.
Balkan, Samet ; Schreieder, Stefan. / Cycle conjectures and birational invariants over finite fields. 2024.
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