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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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Algebraic Curves and Riemann Surfaces

reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves;

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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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Principles of Algebraic Geometry

applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the;

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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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Introduction to the Theory of Algebraic Functions of One Variable

last chapter, which is more analytic in flavor, treats the theory of Riemann surfaces. Prerequisites for reading are minimal and include only;

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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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Algebraic Geometry & Arithmetic Curves

, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such;

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Algebraic Geometry

, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem;

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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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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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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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Computational Aspects Of Algebraic Curves

in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the;

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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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Rigid Geometry of Curves and Their Jacobians

This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves;

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London Mathematical Society Lecture Note Series

dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic;

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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the;

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Topology of Algebraic Curves

This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis;

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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both;

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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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Algebraic Curves

of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even;

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Geometry of Algebraic Curves

In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the;

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Theory of Algebraic Surfaces

theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the;

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Riemann Surfaces Ogtm Ncs P

, algebraic geometry, Riemannian geometry, and diverse topics in mathematical physics. This graduate text on Riemann surface theory proves the;

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