Description: Moduli of Curves, Paperback by Harris, Joe; Morrison, Ian, ISBN 0387984291, ISBN-13 9780387984292, Brand New, Free P&P in the UK A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry. It develops many techniques, including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory, with the focus on examples and applications arising in the study of moduli of curves. From such foundations, th goes on to show how moduli spaces of curves are constructed, illustrates typical applications with the proofs of the Brill-Noether and Gieseker-Petri theorems via limit linear series, and surveys 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, th also provides a concise introduction to the main results and open problems about important topics which are not covered in detail.
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Book Title: Moduli of Curves
Number of Pages: 369 Pages
Language: English
Publication Name: Moduli of Curves
Publisher: Springer-Verlag New York Inc.
Publication Year: 1998
Subject: Mathematics
Item Height: 235 mm
Item Weight: 1200 g
Type: Textbook
Author: Ian Morrison, Joe Harris
Series: Graduate Texts in Mathematics
Item Width: 155 mm
Format: Paperback