Towards the arithmetic degree of line bundles on abelian varieties

DOI10.1007/s002290050071zbMath0938.11023OpenAlexW1989389346MaRDI QIDQ1265388

Jürg Kramer, Jay A. Jorgenson

Publication date: 12 June 2000

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

Full work available at URL: https://doi.org/10.1007/s002290050071

zbMATH Keywords

Siegel modular formscusp formexplicit calculationsGreen currentspolarized abelian varietiesclassical Riemann Theta functiontheta function with characteristics

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta functions and abelian varieties (14K25)

Related Items (4)

Green's currents for families of Hermitian vector bundles characterizing certain vanishing loci ⋮ Star products of Green's currents and automorphic forms. ⋮ Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space ⋮ An integral characterizing the Andreotti-Mayer locus

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