An introduction to Riemann surfaces, algebraic curves and moduli spaces
Author(s)
Bibliographic Information
An introduction to Riemann surfaces, algebraic curves and moduli spaces
（Theoretical and mathematical physics）
Springer, c2007
2nd ed
- : pbk.
Available at / 23 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
SCH||95||1200001578750
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Note
Includes bibliographies and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"
