On superspecial abelian surfaces over finite fields

zbMath1385.11042MaRDI QIDQ504305

Tse-Chung Yang, Chia-Fu Yu, Jiang Wei Xue

Publication date: 16 January 2017

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/DMJDMV/vol-21/41.html

zbMATH Keywords

Galois cohomologyclass number formulasupersingular abelian surfaces

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20)

Related Items (11)

On superspecial abelian surfaces over finite fields. II ⋮ Multiparty non-interactive key exchange and more from isogenies on elliptic curves ⋮ A note on supersingular abelian varieties ⋮ Ideal classes of orders in quaternion algebras ⋮ Fully maximal and fully minimal abelian varieties ⋮ On counting certain abelian varieties over finite fields ⋮ On superspecial abelian surfaces over finite fields. III ⋮ On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five ⋮ On superspecial abelian surfaces and type numbers of totally definite quaternion algebras ⋮ Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 ⋮ Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Uses Software

• Magma

This page was built for publication: On superspecial abelian surfaces over finite fields