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 language | English (US) |
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Pages (from-to) | 44-59 |
Number of pages | 16 |
Journal | Journal of Number Theory |
Volume | 108 |
Issue number | 1 |
DOIs | |
State | Published - Sep 2004 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory