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Viser: Riemann Surfaces and Algebraic Curves - A First Course in Hurwitz Theory
Riemann Surfaces and Algebraic Curves
A First Course in Hurwitz Theory
Renzo Cavalieri og Eric Miles
(2016)
Sprog: Engelsk
Detaljer om varen
- Paperback: 194 sider
- Udgiver: Cambridge University Press (September 2016)
- Forfattere: Renzo Cavalieri og Eric Miles
- ISBN: 9781316603529
1. From complex analysis to Riemann surfaces;
2. Introduction to manifolds;
3. Riemann surfaces;
4. Maps of Riemann surfaces;
5. Loops and lifts;
6. Counting maps;
7. Counting monodromy representations;
8. Representation theory of Sd;
9. Hurwitz numbers and Z(Sd);
10. The Hurwitz potential; Appendix A. Hurwitz theory in positive characteristic; Appendix B. Tropical Hurwitz numbers; Appendix C. Hurwitz spaces; Appendix D. Does physics have anything to say about Hurwitz numbers?; References; Index.