Introduction to Compact Riemann Surfaces

DOI10.1007/978-3-642-17413-1_1zbMath1214.30030OpenAlexW1586753068MaRDI QIDQ5390262

Alexander Ivanovich Bobenko

Publication date: 1 April 2011

Published in: Computational Approach to Riemann Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-17413-1_1

zbMATH Keywords

hyperelliptic curvesJacobi inversion problemSchottky uniformizationspecial divisorsAbelian differentialsJacobi varietyholomorphic spin bundle

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Differentials on Riemann surfaces (30F30)

Related Items (13)

The genus two free boson in Arakelov geometry ⋮ The Heisenberg generalized vertex operator algebra on a Riemann surface ⋮ Riemann surfaces for integer counting processes ⋮ Discrete Riemann surfaces: linear discretization and its convergence ⋮ Reduction cohomology of Riemann surfaces ⋮ Algebraic Curves and Riemann Surfaces in Matlab ⋮ Computing Poincaré Theta Series for Schottky Groups ⋮ Uniformizing Real Hyperelliptic M-Curves Using the Schottky–Klein Prime Function ⋮ On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus ⋮ The Schottky-Klein prime function and counting functions for Fenchel double crosses ⋮ Efficient computation of the branching structure of an algebraic curve ⋮ Elliptic and abelian period spaces ⋮ Riemann surface for TASEP with periodic boundaries

Cites Work

• Hausdorff dimension of quasi-circles
• Riemann surfaces and the theta function
• Canonical polygons for finitely generated Fuchsian groups
• A characterization of Schottky groups
• Further Note on Automorphic Functions
• Computing Poincaré Theta Series for Schottky Groups
• Singular Sets of Some Kleinian Groups (II)
• Riemann surfaces and spin structures
• Compact Riemann surfaces. An introduction to contemporary mathematics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Introduction to Compact Riemann Surfaces