An Introduction to Riemann Surfaces

DOI10.1007/978-0-8176-4693-6zbMath1237.30001OpenAlexW642472258MaRDI QIDQ3173254

Terrence Napier, Mohan Ramachandran

Publication date: 26 September 2011

Full work available at URL: https://doi.org/10.1007/978-0-8176-4693-6

zbMATH Keywords

Riemann surfacesdivisorTeichmüller theoryuniformization theorembiholomorphic classification of Riemann surfacesholomorphic line bundle with positive curvatureinhomogeneous Cauchy-Riemann equation with \(L^{2}\) estimatessubharmonic exhaustion function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Harmonic functions on Riemann surfaces (30F15) Teichmüller theory for Riemann surfaces (30F60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Differentials on Riemann surfaces (30F30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01)

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