Abelian varieties over finite fields
Year: 2005
Type: article
Abstract: . A. Weil proved that the geometric Frobenius π = F a of an abelian variety over a finite field with q = p a elements has absolute value q for every embedding. T. Honda and J. Tate showed that A ↦ → πA gives a bijection between the set of isogeny classes of simple abelian varieties over Fq and the set of conjugacy classes of q-Weil numbers. Higher-dimensional varieties over finite fields, Summer school in Göttingen, June 2007
Author: Frans J. Oort
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2101165943