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81T30 Quantum theory -- Quantum field theory; related classical field theories -- String and superstring theories; other extended objects

32G15 Several complex variables and analytic spaces -- Deformations of analytic structures -- Moduli of Riemann surfaces, Teichmüller theory

14H15 Algebraic geometry -- Curves -- Families, moduli (analytic)

30Fxx Functions of a complex variable -- Riemann surfaces En-ligne: Springerlink | Zentralblatt

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The contents of this book is a course given by the author at the University of Karlsruhe and it provides a good introduction to algebraic and analytic geometry in relationship with the string theory. It is mainly addressed to physicians, but can also be useful for students of mathematics wishing a quick introduction to this subject.

The contents of the book given by chapter titles are: (1) Manifolds. (2) Topology of Riemann surfaces. (3) Analytic structure. (4) Differentials and integration. (5) Tori and Jacobians. (6) Projective varieties. (7) Moduli space of curves. (8) Vector bundles, sheaves and cohomology. (9) The theorem of Riemann-Roch for line bundles. (10) The Mumford isomorphism on the moduli space. Appendix: p-adic numbers. ... (Zentralblatt)

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