Book Review: Riemann surfaces

DOI10.1090/S0273-0979-2012-01375-7zbMath1321.00036OpenAlexW2312186198WikidataQ56032319 ScholiaQ56032319MaRDI QIDQ2949104

Irwin Kra

Publication date: 7 October 2015

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-2012-01375-7

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal mappings of special domains (30C20) Jacobians, Prym varieties (14H40) Riemann surfaces; Weierstrass points; gap sequences (14H55) Families, moduli of curves (analytic) (14H15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) External book reviews (00A17)

Related Items (1)

The Deligne-Mumford compactification and crystallographic groups

Cites Work

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• Siegel modular forms vanishing on the moduli space of curves
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Thurston's Riemannian metric for Teichmüller space
• Extending holomorphic motions
• Characterization of Jacobian varieties in terms of soliton equations
• Big Schottky
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• The good pants homology and the Ehrenpreis conjecture
• An analytic construction of the Deligne-Mumford compactification of the moduli space of curves
• A non-standard integral equation with applications to quasi-conformal mappings
• On the differential geometry of Teichmüller spaces
• The irreducibility of the space of curves of a given genus
• Period relations of Schottky type on Riemann surfaces
• On the geometry and dynamics of diffeomorphisms of surfaces
• Augmented Teichmüller spaces
• Finitely Generated Kleinian Groups
• A transcendental view of the space of algebraic Riemann surfaces

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