Tate conjecture for products of Fermat varieties over finite fields
Rin Sugiyama
TL;DR
This paper proves the Tate conjecture for products of Fermat varieties over finite fields under certain assumptions, advancing understanding in algebraic geometry and number theory.
Contribution
It establishes the Tate conjecture for a new class of varieties, specifically products of Fermat varieties of different degrees, under specific conditions.
Findings
Tate conjecture holds for these varieties under assumptions
Provides new cases where Tate conjecture is verified
Advances knowledge in algebraic geometry over finite fields
Abstract
We prove under some assumptions that the Tate conjecture holds for products of Fermat varieties of different degrees.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Coding theory and cryptography