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This title in other editionsOther titles in the Theoretical and Mathematical Physics series:
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces (Theoretical and Mathematical Physics)by Martin Schlichenmaier
Synopses & ReviewsPublisher 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 AuthorMartin 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 ContentsIntroduction. 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 RiemannRoch for Line Bundles. The Mumford Isomorphism on the Moduli Space. Modern Algebraic Geometry. Schemes. Hodge Decomposition and Kähler Manifold. CalabiYau Manifolds and Mirror Symmetry.
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