An integral characterizing the Andreotti-Mayer locus

DOI10.1007/BF02941664zbMath1011.11029MaRDI QIDQ1858630

Jürg Kramer, Riccardo Salvati Manni

Publication date: 13 February 2003

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Siegel modular formtheta divisorGreen current

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Subvarieties of abelian varieties (14K12) Relations with algebraic geometry and topology (11F23) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

Green's currents for families of Hermitian vector bundles characterizing certain vanishing loci

Cites Work

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• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Complex immersions and Quillen metrics
• Hirzebruch's proportionality theorem in the non-compact case
• Towards the arithmetic degree of line bundles on abelian varieties
• Discriminant of theta divisors and Quillen metrics.
• Star products of Green's currents and automorphic forms.
• Stable real cohomology of arithmetic groups
• Heights of Projective Varieties and Positive Green Forms
• Le lieu des variétés abéliennes dont le diviseur thêta est singulier a deux composantes

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