Abelian varieties isogenous to a power of an elliptic curve

DOI10.1112/S0010437X17007990zbMath1400.14116arXiv1602.06237OpenAlexW2282507138MaRDI QIDQ3176192

N. I. Shepherd-Barron, John Tate, Allan G. Keeton, Bjorn Poonen, Bruce W. Jordan, Eric M. Rains

Publication date: 19 July 2018

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

Full work available at URL: https://arxiv.org/abs/1602.06237

zbMATH Keywords

abelian varietyisogenyelliptic curve

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Isogeny (14K02) Arithmetic ground fields for abelian varieties (14K15) Algebraic theory of abelian varieties (14K05)

Related Items

Computing base extensions of ordinary abelian varieties over finite fields, Grothendieck groups of categories of abelian varieties, Abelian varieties isogenous to a power of an elliptic curve over a Galois extension, Computing square-free polarized abelian varieties over finite fields, On counting certain abelian varieties over finite fields, Computing abelian varieties over finite fields isogenous to a power, Spanning the isogeny class of a power of an elliptic curve

Cites Work

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• Superspecial abelian varieties over finite prime fields
• Products of CM elliptic curves
• Modules over Dedekind-like rings
• Moduli of supersingular abelian varieties
• Which abelian surfaces are products of elliptic curves?
• Warfield domains: module theory from linear algebra to commutative algebra through abelian groups
• Categories of abelian varieties over finite fields. I: Abelian varieties over \(\mathbb F_p\)
• Endomorphisms of Abelian varieties over finite fields
• Remarque sur une formule de Shimura-Taniyama
• Variétés abeliennes ordinaires sur un corps fini
• Galois properties of points of finite order of elliptic curves
• On the ubiquity of Gorenstein rings
• Über die Idealklassenzahl hyperkomplexer Systeme
• Finiteness results for modular curves of genus at least 2
• Produkte Abelscher Varietäten und Moduln über Ordnungen.
• Abelian varieties over finite fields
• Varieties Defined by Quadratic Equations