03612nam 22006615 450 99646680590331620200629160857.03-540-45934-010.1007/BFb0113492(CKB)1000000000778385(SSID)ssj0000324160(PQKBManifestationID)12116215(PQKBTitleCode)TC0000324160(PQKBWorkID)10305311(PQKB)11621058(DE-He213)978-3-540-45934-7(PPN)155230557(EXLCZ)99100000000077838520121227d1989 u| 0engurnn|008mamaatxtccrAn Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces[electronic resource] /by Martin Schlichenmaier1st ed. 1989.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1989.1 online resource (XIII, 149 p.) Lecture Notes in Physics,0075-8450 ;322Bibliographic Level Mode of Issuance: Monograph3-540-50124-X 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.Lecture Notes in Physics,0075-8450 ;322Algebraic geometryMathematical physicsElementary particles (Physics)Quantum field theoryAlgebraic topologyAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Algebraic 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.516.35Schlichenmaier Martinauthttp://id.loc.gov/vocabulary/relators/aut51684BOOK996466805903316Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces335681UNISA