Riemann surfaces and algebraic curves : a first course in Hurwitz theory (Book, 2016) [WorldCat.org]
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Riemann surfaces and algebraic curves : a first course in Hurwitz theory

Author: Renzo Cavalieri; Eric W Miles; Cambridge University Press.
Publisher: New York : Cambridge University Press, 2016.
Series: London Mathematical Society Student Texts, 87.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the  Read more...

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Document Type: Book
All Authors / Contributors: Renzo Cavalieri; Eric W Miles; Cambridge University Press.
ISBN: 9781107149243 110714924X 9781316603529 1316603520
OCLC Number: 971439517
Description: XII, 183 s. : il. ; 23 cm.
Contents: Introduction; 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.
Series Title: London Mathematical Society Student Texts, 87.
Responsibility: Renzo Cavalieri, Eric Miles.

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'To wit, the book is indeed well-suited to advanced undergraduates who know some serious algebra, analysis (complex analysis in particular), and are disposed to hit themes in algebraic topology and Read more...

 
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