An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

TRAMA

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.

SOMMARIO

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.

AUTORE

Martin Schlichenmaier is full professor for mathematics at the University of  Luxemburg. He has held several teaching and research positions in the mathematics department of the University of Mannheim.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783540711742
• Collana: Theoretical and Mathematical Physics
• Dimensioni: 235 x 155 mm Ø 1120 gr
• Formato: Copertina rigida
• Illustration Notes: XIII, 217 p.
• Pagine Arabe: 217
• Pagine Romane: xiii