Cycle conjectures and birational invariants over finite fields

Publikation: Arbeitspapier/Preprint › Preprint

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  • Samet Balkan
  • Stefan Schreieder

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 20 Juni 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.

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

Publikation: Arbeitspapier/Preprint › Preprint

Balkan, S., & Schreieder, S. (2024). Cycle conjectures and birational invariants over finite fields. Vorabveröffentlichung online.
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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