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- catalog abstract "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".
- catalog contributor b10856583.
- catalog contributor b10856584.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "Includes bibliographical references (p. [345]-354) and index.".
- catalog description "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".
- catalog extent "xiii, 366 p. :".
- catalog identifier "0387984291 (pbk. : alk. paper)".
- catalog identifier "0387984380 (hardcover : alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 187".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "516.3/5 21".
- catalog subject "Curves, Algebraic.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Mathematics.".
- catalog subject "Moduli theory.".
- catalog subject "QA564 .H244 1998".
- catalog title "Moduli of curves / Joe Harris, Ian Morrison.".
- catalog type "text".