Endomorphism rings of abelian surfaces and projective models of their moduli spaces

DOI10.2748/tmj/1178224764zbMath0972.14017OpenAlexW2017041156MaRDI QIDQ1961352

Bernhard Runge

Publication date: 7 November 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224764

zbMATH Keywords

Humbert surfacesQCM-curvesquaternionic complex multiplicationShimura varieties of PEL-type

Mathematics Subject Classification ID

Plane and space curves (14H50) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Complex multiplication and abelian varieties (14K22)

Related Items (10)

CM-values of Hilbert modular functions ⋮ Computing the geometric endomorphism ring of a genus-2 Jacobian ⋮ A quasi-linear time algorithm for computing modular polynomials in dimension 2 ⋮ Quaternionic loci in Siegel's modular threefold ⋮ Genus 3 curves whose Jacobians have endomorphisms by \(\mathbb{Q}(\zeta_7 + \overline{\zeta}_7)\) ⋮ 7-gons and genus three hyperelliptic curves ⋮ Nef cone volumes and discriminants of abelian surfaces ⋮ Higher-dimensional 3-adic CM construction ⋮ Modular polynomials on Hilbert surfaces ⋮ Teichmüller curves in genus two: Discriminant and spin

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