An introduction to Riemann surfaces, algebraic curves and moduli spaces
著者
書誌事項
An introduction to Riemann surfaces, algebraic curves and moduli spaces
（Theoretical and mathematical physics）
Springer, c2007
2nd ed
- : pbk.
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注記
Includes bibliographies and index
内容説明・目次
内容説明
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.
目次
Manifolds.- Topology of Riemann Surfaces.- Analytic Structure.- Diffierentials 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.- TopoModern Algebraic Geometry.- Schemes.- Hodge Decomposition and Kahler Manifold.- Calabi-Yau Manifolds and Mirror Symmetry.
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