A note on supersingular abelian varieties

DOI10.21915/BIMAS.2020102zbMath1440.14208arXiv1412.7107MaRDI QIDQ5109837

Chia-Fu Yu

Publication date: 13 May 2020

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7107

zbMATH Keywords

supersingular abelian varietysuperspecial abelian varietyGalois descentminimal isogeny

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic ground fields for abelian varieties (14K15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On superspecial abelian surfaces over finite fields
• The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field
• Hypersymmetric Abelian varieties
• Arithmétique des algèbres de quaternions
• Moduli of supersingular abelian varieties
• The isomorphism classes of abelian varieties of CM-type.
• Which abelian surfaces are products of elliptic curves?
• On the slope filtration.
• Families of \(p\)-divisible groups with constant Newton polygon
• On finiteness of endomorphism rings of Abel varieties
• Endomorphism algebras of QM abelian surfaces
• Endomorphisms of Abelian varieties over finite fields
• Subvarieties of moduli spaces
• ON THE EXISTENCE OF MAXIMAL ORDERS
• ON -DIVISIBLE GROUPS WITH SATURATED NEWTON POLYGONS
• The Field of Definition of a Variety
• Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields
• THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC
• Abelian varieties over finite fields