In this paper we discuss nontrivial multiplicative relations among eigenvalues of Frobenius endomorphisms of abelian varieties over finite fields. (The trivial relations are provided by the "Riemann Hypothesis" that was proven by A. Weil.) We classify all abelian varieties over finite fields of dimension ≤3 that admit the nontrivial relations.
|Original language||English (US)|
|Number of pages||23|
|Journal||Journal of Pure and Applied Algebra|
|State||Published - Jun 1 2015|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory