An Introduction to Riemann Surfaces Algebraic Curves and Moduli Spaces 2nd Edition by Martin Schlichenmaier ISBN 3642090273 9783642090271 by Springerlink (online Service); Schlichenmaier, Martin 9783540711742, 9783540711759, 3540711740, 3540711759 instant download after payment.

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ISBN 10: 3642090273 
ISBN 13: 9783642090271
Author: Martin Schlichenmaier

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.

An Introduction to Riemann Surfaces Algebraic Curves and Moduli Spaces 2nd Table of contents:

1. Manifolds

2. Topology of Riemann Surfaces

3. Analytic Structure

4. Differentials and Integration

5. Tori and Jacobians

6. Projective Varieties

7. Moduli Spaces of Curves

8. Vector Bundles, Sheaves and Cohomology

9. The Theorem of Riemann–Roch for Line Bundles

10. The Mumford Isomorphism on the Moduli Space

11. Modern Algebraic Geometry

12. Schemes

13. Hodge Decomposition and Kähler Manifold

14. Calabi–Yau Manifolds and Mirror Symmetry

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Tags: Martin Schlichenmaier, Riemann, Surfaces