Discriminant of theta divisors and Quillen metrics.

DOI10.4310/jdg/1214425217zbMath1033.58029arXivmath/9904092OpenAlexW1624692058WikidataQ115193930 ScholiaQ115193930MaRDI QIDQ1567700

Ken-Ichi Yoshikawa

Publication date: 26 June 2000

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904092

zbMATH Keywords

Siegel modular formanalytic torsionQuillen metricTheta divisor

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta functions and abelian varieties (14K25) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (8)

Adiabatic limits of \(\eta \)-invariants and the Meyer functions ⋮ On genus one mirror symmetry in higher dimensions and the BCOV conjectures ⋮ Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces ⋮ Analytic torsion of Hirzebruch surfaces ⋮ A Trinity of the Borcherds Φ-Function ⋮ Star products of Green's currents and automorphic forms. ⋮ Complex curves of genus three, Kummer surfaces and Quillen metrics ⋮ An integral characterizing the Andreotti-Mayer locus

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