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Cycle conjectures and birational invariants over finite fields

Research output: Working paper/Preprint › Preprint

Authors

  • Samet Balkan
  • Stefan Schreieder

Research Organisations

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/Preprint › Preprint

Balkan, S., & Schreieder, S. (2024). Cycle conjectures and birational invariants over finite fields. Advance online publication. https://doi.org/10.48550/arXiv.2406.14438
Balkan S, Schreieder S. Cycle conjectures and birational invariants over finite fields. 2024 Jun 20. Epub 2024 Jun 20. doi: 10.48550/arXiv.2406.14438
Balkan, Samet ; Schreieder, Stefan. / Cycle conjectures and birational invariants over finite fields. 2024.
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