The Tate conjecture for powers of ordinary cubic fourfolds over finite fields

Research output: Contribution to journalArticlepeer-review

Abstract

Recently, Levin proved the Tate conjecture for ordinary cubic fourfolds over finite fields. In this paper, we prove the Tate conjecture for self-products of ordinary cubic fourfolds. Our proof is based on properties of so-called polynomials of K3-type introduced by the author about 12 years ago.

Original languageEnglish (US)
Pages (from-to)44-59
Number of pages16
JournalJournal of Number Theory
Volume108
Issue number1
DOIs
StatePublished - Sep 2004

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'The Tate conjecture for powers of ordinary cubic fourfolds over finite fields'. Together they form a unique fingerprint.

Cite this