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Geometry and Spectra of Compact Riemann Surfaces

eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship;

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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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Topological, Differential and Conformal Geometry of Surfaces

, the classification of compact connected oriented surfaces, Stokes' Theorem, fixed point theorems and rigidity theorems. There is also a novel;

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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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Introduction to Algebraic Curves

Algebraic curves and compact Riemann surfaces comprise the most developed and arguably the most beautiful portion of 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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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that;

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An Introduction to Riemann Surfaces

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $bar{delta;

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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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Principles of Complex Analysis

is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and;

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Principles of Complex Analysis

is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and;

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Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A;

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Lectures on Riemann Surfaces - Jacobi Varieties

meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and;

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Lectures on Riemann Surfaces - Jacobi Varieties

meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and;

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Introduction to Compact Riemann Surfaces and Dessins d'Enfants

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Introduction To Compact Riemann Surfaces And Dessins D'Enfan

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Riemann Surfaces and Generalized Theta Functions

The investigation of the relationships between compact Riemann surfaces (al- gebraic curves) and their associated complex tori (Jacobi;

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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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London Mathematical Society Lecture Note Series

expository essays presenting original research and expert surveys of important topics related to Riemann surfaces and their geometry. It complements;

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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79

Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University;

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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.;

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Analytic Functions

mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations;

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Analytic Functions

mapping of Riemann surfaces; On certain coefficients of univalent functions; Compact analytic surfaces; On differentiable mappings; Deformations;

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Differential Geometry and Tensors

The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and;

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Differential Forms and Applications

An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential;

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Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio;

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