Inequality for the distortion function of invertible sheaves on abelian varieties

DOI10.1215/S0012-7094-89-05831-6zbMath0711.14024OpenAlexW1581144512MaRDI QIDQ922602

Shanyu Ji

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05831-6

zbMATH Keywords

theta functionshermitian metricFubini-Study metricdistorsion functionmetrics on abelian varieties

Mathematics Subject Classification ID

Algebraic theory of abelian varieties (14K05)

Related Items (15)

Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold ⋮ Radial balanced metrics on the unit ball of the Kepler manifold ⋮ TYZ expansion for the Kepler manifold ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Szegő kernel, regular quantizations and spherical CR-structures ⋮ Uniqueness of smooth radial balanced metrics on the disc ⋮ Balanced metrics on Hartogs domains ⋮ A note on diastatic entropy and balanced metrics ⋮ Berezin quantization of homogeneous bounded domains ⋮ Finite TYCZ expansions and cscK metrics ⋮ A Packing Problem for Holomorphic Curves ⋮ On homothetic balanced metrics ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics ⋮ Convergence de la mêtrique de Fubini-Study d'un fibré linéaire positif. (Convergence of the Fubini-Study metric of a positive line bundle.) ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains

Cites Work

• Vanishing theorems on complex manifolds
• Complex abelian varieties and theta functions
• On the equations defining Abelian varieties. I-III
• Multiplication Over Abelian Varieties
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