An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces - Rilegato

Schlichenmaier, M.

 
9783540501244: An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Rilegato
ISBN 10: 354050124X ISBN 13: 9783540501244
Casa editrice: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989

Sinossi

This lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists, in particular those working in string theories. The author gives a very clear exposition of the main theorems, introducing the necessary concepts by lucid examples, and shows how to work with the methods of algebraic geometry. As an example he presents the Krichever-Novikov construction of algebras of Virasaro type. The book will be welcomed by many researchers as an overview of an important branch of mathematics, a collection of useful formulae and an excellent guide to the more extensive mathematical literature.

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Contenuti

Contents: Introduction from a Physicist's Viewpoint (by Ian McArthur).- Manifolds.- Topology of Riemann Surfaces.- Analytic Structure.- Differentials and Integration.- Tori and Jacobians.- Projective Varieties.- Moduli Space of Curves.- Vector Bundles, Sheaves and Cohomology.- The Theorem of Riemann-Roch for Line Bundles.- The Mumford Isomorphism on the Moduli Space.- Appendix.- Index.

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Editore
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Data di pubblicazione
1989
Lingua
Inglese
ISBN 10 
354050124X
ISBN 13 
9783540501244
Rilegatura
Copertina rigida
Numero di pagine
148
Contatto del produttore
non disponibile
Persona responsabile
non disponibile