TY  - BOOK
AU  - Schlichenmaier,Martin
ED  - SpringerLink (Online service)
TI  - An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
T2  - Lecture Notes in Physics,
SN  - 9783540459347
AV  - QC19.2-20.85 
U1  - 530.1 23
PY  - 1989///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Algebraic topology
KW  - Mathematical physics
KW  - Quantum theory
KW  - Mathematical and Computational Physics
KW  - Elementary Particles, Quantum Field Theory
KW  - Algebraic Topology
N1  - from a physicist's viewpoint -- 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0113492
ER  -