Riemann surfaces and algebraic curves

Riemann surfaces and algebraic curves: a first course in Hurwitz theory

by Cavalieri, Renzo

Type Book
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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…

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Title Statements

  • Full title :Riemann surfaces and algebraic curves : a first course in Hurwitz theory / Renzo Cavalieri, Colorado State University, Eric Miles, Colorado Mesa University.

Summary

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.

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Edition Statements

  • Publication Date:2016

Publication Statements

Notes

Title from publisher's bibliographic system (viewed on 27 Oct 2016).

The Physical Object

  • Description:1 online resource (xii, 183 Seiten)

Edition Identifiers

  • ISBN:9781316569252, 131656925X, 9781107149243, 110714924X, 9781316603529, 1316603520
  • DOI:10.1017/CBO9781316569252
  • oclc:ocn967678270
  • LC Classification:QA333
  • Dewey Decimal:515/.93

Subjects

Courbes algébriques Curves, Algebraic Géométrie algébrique Geometry, Algebraic Riemann Surfaces Surfaces de Riemann

Writers

Cavalieri, Renzo Miles, Eric

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