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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Title:
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Author:
Schlichenmaier, Martin. author.
ISBN:
9783540711759
Edition:
Second Edition.
Physical Description:
XIII, 217 p. online resource.
Series:
Theoretical and Mathematical Physics,
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 K¨ahler Manifold -- Calabi-Yau Manifolds and Mirror Symmetry.
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