An introduction to Riemann surfaces, algebraic curves, and moduli spaces / Martin Schlichenmaier
Type de document : Livre numériqueCollection : Lecture notes in physics, 322Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1989ISBN: 9783540711742.ISSN: 1616-6361.Sujet MSC : 14Hxx, Algebraic geometry - Curves in algebraic geometry81T30, Quantum theory, String and superstring theories; other extended objects in quantum field theory
32G15, Several complex variables and analytic spaces - Deformations of analytic structures, Moduli of Riemann surfaces, Teichmüller theory
14H15, Curves in algebraic geometry, Families, moduli of curves (analytic)
30Fxx, Functions of a complex variable - Riemann surfacesEn-ligne : Springerlink | Zentralblatt
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)
There are no comments on this title.