Theta functions and adiabatic curvature on an abelian variety

DOI10.1007/s12220-024-01580-2arXiv2210.12986OpenAlexW4392938790MaRDI QIDQ6200348

Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai

Publication date: 22 March 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12986

zbMATH Keywords

abelian varietytheta functioncurvatureHermitian-Einstein metricFourier-Mukai transformconnectionPicard variety

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Theta functions and abelian varieties (14K25) Classical real and complex (co)homology in algebraic geometry (14F25) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions and adiabatic curvature on an elliptic curve
• Correction to: ``Theta functions and adiabatic curvature on an elliptic curve
• Curvature of vector bundles associated to holomorphic fibrations
• Fourier-Mukai transform and adiabatic curvature of spectral bundles for Landau Hamiltonians on Riemann surfaces
• Holomorphic spectral geometry of magnetic Schrödinger operators on Riemann surfaces
• Toward the Inversion of Abelian Integrals, II
• Curvature of the L2-metric on the direct image of a family of Hermitian-Einstein vector bundles
• 𝐿²-metrics, projective flatness and families of polarized abelian varieties

This page was built for publication: Theta functions and adiabatic curvature on an abelian variety