UID:
edoccha_9959185905902883
Format:
1 online resource (XIII, 149 p.)
Edition:
1st ed. 1989.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-45934-0
Series Statement:
Lecture Notes in Physics, 322
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-50124-X
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0113492