An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces [electronic resource] / by Martin Schlichenmaier.

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 RiemannRoch for Line Bundles -- The Mumford Isomorphism on the Moduli Space -- TopoModern Algebraic Geometry -- Schemes -- Hodge Decomposition and Kÿahler Manifold -- Calabi-Yau Manifolds and Mirror Symmetry.

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