Bergman kernel on Riemann surfaces and Kähler metric on symmetric products

DOI10.1142/S0129167X1950071XzbMath1439.30063arXiv1909.03776OpenAlexW2973934763MaRDI QIDQ5208752

Anilatmaja Aryasomayajula, Indranil Biswas

Publication date: 10 January 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03776

zbMATH Keywords

Bergman kernelFubini-study metrichyperbolic Riemann surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Estimates of Bergman kernels and Bergman metric on compact Picard surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Kähler metrics over \(\operatorname{Sym}^d(X)\)
• On a set of polarized Kähler metrics on algebraic manifolds
• Symplectic fibrations and the Abelian vortex equations
• One-vortex moduli space and Ricci flow
• Toward the inversion of abelian integrals. I
• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Volume of vortex moduli spaces
• A no-go theorem for nonabelionic statistics in gauged linear sigma-models
• Holomorphic Morse inequalities and Bergman kernels
• Moduli of vortices and Grassmann manifolds
• Lectures on Kähler manifolds
• Symmetric products of an algebraic curve
• On the Cohomology of Pseudoeffective Line Bundles
• Applications of Pluripotential Theory to Algebraic Geometry
• Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume
• Bergman kernels on punctured Riemann surfaces