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Moduli of Curves

  • Textbook
  • © 1998

Overview

Part of the book series: Graduate Texts in Mathematics (GTM, volume 187)

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About this book

The aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families. The revolution that the field of algebraic geometry has undergone with the introduction of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understand the behavior of curves in ways that simply were not possible a half-century ago. This in turn has led, over the last few decades, to a burst of activity in the area, resolving longstanding problems and generating new and unforeseen results and questions. We hope to acquaint you both with these results and with the ideas that have made them possible. The book isn’t intended to be a definitive reference: the subject is developing too rapidly for that to be a feasible goal, even if we had the expertise necessary for the task. Our preference has been to focus on examples and applications rather than on foundations. When discussing techniqueswe’ve chosen to sacrifice proofs of some, even basic,results—particularly where we can provide a good reference— in order to show how the methods are used to study moduli of curves. Likewise, we often prove results in special cases which we feel bring out the important ideas with a minimum of technical complication.

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Keywords

Table of contents (6 chapters)

Authors and Affiliations

  • Department of Mathematics, Harvard University, Cambridge, USA

    Joe Harris

  • Department of Mathematics, Fordham University, Bronx, USA

    Ian Morrison

Bibliographic Information

  • Book Title: Moduli of Curves

  • Authors: Joe Harris, Ian Morrison

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/b98867

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Softcover ISBN: 978-0-387-98429-2Published: 01 July 1998

  • eBook ISBN: 978-0-387-22737-5Published: 06 April 2006

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIII, 369

  • Topics: Algebraic Geometry

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