Supersingular loci of low dimensions and parahoric subgroups

zbMath1492.14078MaRDI QIDQ2159510

Tomoyoshi Ibukiyama

Publication date: 1 August 2022

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

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-59/issue-3/Supersingular-loci-of-low-dimensions-and-parahoric-subgroups/5469ojm.full

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Algebraic moduli of abelian varieties, classification (14K10) Class numbers of quadratic and Hermitian forms (11E41) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• The supersingular loci and mass formulas on Siegel modular varieties
• On rational points of curves of genus 3 over finite fields
• Moduli of supersingular abelian varieties
• Type numbers of quaternion Hermitian forms and supersingular abelian varieties
• Which abelian surfaces are products of elliptic curves?
• The \(a\)-number stratification on the moduli space of supersingular abelian varieties
• Mass formula and Oort's conjecture for supersingular abelian threefolds
• On the \(\zeta\)-functions of a division algebra
• Arithmetic of alternating forms and quaternion hermitian forms
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