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Moduli of Curves (Electronic book text, 1998 ed.)
Moduli of Curves (Electronic book text, 1998 ed.): Joe Harris, Ian Morrison
Moduli of Curves (Electronic book text, 1998 ed.): Joe Harris, Ian Morrison

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Moduli of Curves (Electronic book text, 1998 ed.)

Joe Harris, Ian Morrison

Series: Graduate Texts in Mathematics, 187

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This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families.; The aim has been to provide a broad but compact overview of the field, which will be accessible to readers with a modest background in algebraic geometry.; Many techniques including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory are developed, with a focus on examples and applications arising in the study of moduli of curves.; From such foundations, the book goes on to show how moduli spaces of curves are constructed, to illustrate typical applications with the proofs of the Brill-Noether and Gieseker -Petri theorems via limit linear series, and to survey the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension.; With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Graduate Texts in Mathematics, 187
Release date: November 1998
Authors: Joe Harris • Ian Morrison
Format: Electronic book text
Pages: 383
Edition: 1998 ed.
ISBN-13: 978-0-387-22737-5
Barcode: 9780387227375
Categories: Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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LSN: 0-387-22737-7

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