An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

by Martin Schlichenmaier and Rex D. Hall

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.

• Format: Paperback
• Language: English
• ISBN: 3642090273
• ISBN13: 9783642090271
• Release Date: November 2010
• Publisher: Springer
• Length: 217 Pages
• Weight: 0.74 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"