Computing square-free polarized abelian varieties over finite fields

DOI10.1090/mcom/3594zbMath1469.11211arXiv1805.10223OpenAlexW3081521199MaRDI QIDQ5145105

Stefano Marseglia

Publication date: 20 January 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10223

zbMATH Keywords

polarized abelian varieties

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Isogeny (14K02) Varieties over finite and local fields (11G25)

Related Items (10)

Every finite abelian group is the group of rational points of an ordinary abelian variety over 𝔽₂, 𝔽₃ and 𝔽₅ ⋮ CLASS NUMBERS OF CM ALGEBRAIC TORI, CM ABELIAN VARIETIES AND COMPONENTS OF UNITARY SHIMURA VARIETIES ⋮ Computing base extensions of ordinary abelian varieties over finite fields ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ Counting abelian varieties over finite fields via Frobenius densities ⋮ On the computation of overorders ⋮ Ideal classes of orders in quaternion algebras ⋮ Products and polarizations of super-isolated abelian varieties ⋮ Cyclic abelian varieties over finite fields in ordinary isogeny classes ⋮ Computing abelian varieties over finite fields isogenous to a power

Uses Software

• Magma
• LMFDB

Cites Work

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