Principal polarizations of supersingular abelian surfaces

DOI10.2969/jmsj/82528252zbMath1471.14091OpenAlexW3013481336MaRDI QIDQ826467

Tomoyoshi Ibukiyama

Publication date: 4 January 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1585123222

zbMATH Keywords

abelian varietypolarizationquaternionsupersingular

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic ground fields for abelian varieties (14K15) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (2)

Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ On superspecial abelian surfaces over finite fields. III

Cites Work

• Class numbers of positive definite ternary quaternion Hermitian forms
• Fully maximal and fully minimal abelian varieties
• Type numbers of quaternion Hermitian forms and supersingular abelian varieties
• Which abelian surfaces are products of elliptic curves?
• Arithmetic of alternating forms and quaternion hermitian forms
• Mass formula for supersingular abelian surfaces
• Open problems in algebraic geometry
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