## An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces [electronic resource] / by Martin Schlichenmaier.

Material type: TextSeries: Lecture Notes in Physics ; 322Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989Description: XIII, 149 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540459347Subject(s): Physics | Algebraic topology | Mathematical physics | Quantum theory | Physics | Mathematical and Computational Physics | Elementary Particles, Quantum Field Theory | Algebraic TopologyAdditional physical formats: Printed edition:: No titleDDC classification: 530.1 LOC classification: QC19.2-20.85Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|

IMSc Library | IMSc Library | Link to resource | Available | EBK2502 |

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.

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.

There are no comments on this title.