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Riemann Surfaces by Way of Complex Analytic Geometry

This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used;

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Riemann Surfaces and Generalized Theta Functions

varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic;

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Topological, Differential and Conformal Geometry of Surfaces

analytic theory of Riemann surfaces.;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Analytic Functions

of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal;

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Analytic Functions

of the space of closed Riemann surfaces; Complex analysis on noncompact Riemann domains; Proof of the Teichmuller-Ahlfors theorem; The conformal;

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Principles of Algebraic Geometry

tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results;

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The Concept of a Riemann Surface

degree of rigor. Weyl's two-part treatment begins by defining the concept and topology of Riemann surfaces and concludes with an exploration;

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Geometry and Spectra of Compact Riemann Surfaces

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature -1 and their length and;

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Introduction to Algebraic Curves

proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing;

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Harmonic Mappings in the Plane

actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results;

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Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds;

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Riemann Surfaces and Algebraic Curves

Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry;

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Riemann Surfaces and Algebraic Curves

Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry;

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Harmonic Maps Into Homogeneous Spaces

This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring;

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Algebraic Curves and Riemann Surfaces

are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic;

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Compact Riemann Surfaces

, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its;

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London Mathematical Society Lecture Note Series

Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal;

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Lectures On Riemann Surfaces

This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It;

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Riemann Surfaces

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface;

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Riemann Surfaces

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface;

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex;

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Mostly Surfaces

This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group;

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Riemann Surfaces Ogtm Ncs P

The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making;

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Complex Non-Kähler Geometry: Cetraro, Italy 2018

complex surfaces and compact Kahler manifolds, respectively. The courses by Sebastien Picard and Slawomir Dinew focused on analytic techniques;

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Principles of Complex Analysis

stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The;

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