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024 7 $a10.1007/BFb0113492
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100   $a20121227d1989      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 13$aAn Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces$b[electronic resource] /$fby Martin Schlichenmaier
205   $a1st ed. 1989.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1989.
215   $a1 online resource (XIII, 149 p.) 
225 1 $aLecture Notes in Physics,$x0075-8450 ;$v322
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-50124-X 
327   $afrom 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.
330   $aThis lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists, in particular those working in string theories. The author gives a very clear exposition of the main theorems, introducing the necessary concepts by lucid examples, and shows how to work with the methods of algebraic geometry. As an example he presents the Krichever-Novikov construction of algebras of Virasaro type. The book will be welcomed by many researchers as an overview of an important branch of mathematics, a collection of useful formulae and an excellent guide to the more extensive mathematical literature.
410  0$aLecture Notes in Physics,$x0075-8450 ;$v322
606   $aAlgebraic geometry
606   $aMathematical physics
606   $aElementary particles (Physics)
606   $aQuantum field theory
606   $aAlgebraic topology
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aAlgebraic geometry.
615  0$aMathematical physics.
615  0$aElementary particles (Physics).
615  0$aQuantum field theory.
615  0$aAlgebraic topology.
615 14$aAlgebraic Geometry.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aElementary Particles, Quantum Field Theory.
615 24$aAlgebraic Topology.
676   $a516.35
700   $aSchlichenmaier$b Martin$4aut$4http://id.loc.gov/vocabulary/relators/aut$051684
906   $aBOOK
912   $a996466805903316
996   $aIntroduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces$9335681
997   $aUNISA