Riemann surfaces and algebraic curves : a first course in Hurwitz theory / Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University.
"Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book...
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| Online Access: |
Full Text (via Cambridge) |
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| Main Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Cambridge University Press,
2016.
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| Series: | London Mathematical Society student texts ;
87. |
| Subjects: |
MARC
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| 100 | 1 | |a Cavalieri, Renzo, |d 1976- |e author. | |
| 245 | 1 | 0 | |a Riemann surfaces and algebraic curves : |b a first course in Hurwitz theory / |c Renzo Cavalieri, Colorado State University ; Eric Miles, Colorado Mesa University. |
| 264 | 1 | |a New York, NY : |b Cambridge University Press, |c 2016. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (xii, 183 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society student texts ; |v 87 | |
| 546 | |a Text in English. | ||
| 520 | |a "Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes. A self-contained reference on Hurwitz theory which brings together material dispersed across the literature. Demonstrates connections between complex analysis, algebra, geometry, topology, representation theory and physics. Provides everything a geometer needs to offer a course on Hurwitz theory"--Publisher's website | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a From complex analysis to Riemann surfaces -- Introduction to manifolds -- Riemann surfaces -- Maps of Riemann surfaces -- Loops and lifts -- Counting maps -- Counting monodromy representations -- Representation theory of Sd -- Hurwitz numbers and Z(Sd) -- The Hurwitz potential. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Riemann surfaces. | |
| 650 | 0 | |a Curves, Algebraic. | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 7 | |a Curves, Algebraic. |2 fast |0 (OCoLC)fst00885451 | |
| 650 | 7 | |a Geometry, Algebraic. |2 fast |0 (OCoLC)fst00940902 | |
| 650 | 7 | |a Riemann surfaces. |2 fast |0 (OCoLC)fst01097801 | |
| 700 | 1 | |a Miles, Eric |q (Eric W.), |e author. | |
| 776 | 0 | 8 | |i Print version: |a Cavalieri, Renzo, 1976- |t Riemann Surfaces and Algebraic Curves. |d New York, NY : Cambridge University Press, 2016 |z 9781107149243 |w (DLC) 2016025911 |w (OCoLC)951557351 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 87. | |
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| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |h Library of Congress classification |i web |