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



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Autore: Schlichenmaier Martin Visualizza persona
Titolo: An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces [[electronic resource] /] / by Martin Schlichenmaier Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989
Edizione: 1st ed. 1989.
Descrizione fisica: 1 online resource (XIII, 149 p.)
Disciplina: 516.35
Soggetto topico: Algebraic geometry
Mathematical physics
Elementary particles (Physics)
Quantum field theory
Algebraic topology
Algebraic Geometry
Theoretical, Mathematical and Computational Physics
Elementary Particles, Quantum Field Theory
Algebraic Topology
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces  Visualizza cluster
ISBN: 3-540-45934-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466805903316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture Notes in Physics, . 0075-8450 ; ; 322