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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics)

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Synopses & Reviews

Publisher Comments:

This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

About the Author

Martin Schlichenmaier is full professor for mathematics at the University of  Luxemburg. He has held several teaching and research positions in the mathematics department of the University of Mannheim.

Table of Contents

Introduction.- Manifolds.- Topology of Riemann Surfaces.- Analytic Structure.- Differentials and Integration.- Tori and Jacobians.- Projective Varieties.- Moduli Spaces of Curves.- Vector Bundles, Sheaves and Cohomology.- The Theorem of Riemann-Roch for Line Bundles.- The Mumford Isomorphism on the Moduli Space.- Modern Algebraic Geometry.- Schemes.- Hodge Decomposition and Kähler Manifold.- Calabi-Yau Manifolds and Mirror Symmetry.

Product Details

ISBN:
9783642090271
Author:
Schlichenmaier, Martin
Publisher:
Springer
Subject:
Mathematical Physics
Subject:
Algebraic Geometry
Subject:
Applications of Geometry in String Theory
Subject:
Mirror symmetry.
Subject:
moduli spaces
Subject:
Riemann surfaces
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Elementary Particles, Quantum Field Theory
Subject:
Algebraic topology
Subject:
Algebraic Topology <P>This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical concepts, playing an important role today in contemporary theoretical physics. He presents various techniques
Subject:
Physics-Math
Copyright:
Edition Description:
Softcover reprint of hardcover 2nd ed. 2007
Series:
Theoretical and Mathematical Physics
Publication Date:
20101129
Binding:
TRADE PAPER
Language:
English
Pages:
234
Dimensions:
235 x 155 mm 363 gr

Related Subjects

Science and Mathematics » Agriculture » General
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Nuclear

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics) New Trade Paper
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