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Sinopsis
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, the book 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, the book 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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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, the book 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, the book 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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Moduli of Curves (Graduate Texts in Mathematics, 187)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Moduli of Curves. (Graduate Texts in Mathematics, 187).
Publicado por
Springer. 1998., 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
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Librería: Antiquariaat Ovidius, Bredevoort, Holanda
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Condición: Gebraucht / Used. Paperback. Very good. Xiii,366pp. Nº de ref. del artículo: 112905
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Moduli of Curves 187 Graduate
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
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Condición: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Nº de ref. del artículo: 00085026930
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Moduli of Curves
Impresión bajo demandaLibrería: moluna, Greven, Alemania
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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, i. Nº de ref. del artículo: 5913301
Cantidad disponible: Más de 20 disponibles
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Moduli of Curves
Publicado por
Springer New York Jul 1998, 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
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Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 388 pp. Englisch. Nº de ref. del artículo: 9780387984292
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Moduli of Curves (Graduate Texts in Mathematics, 187)
Librería: California Books, Miami, FL, Estados Unidos de America
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Moduli of Curves
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
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Moduli of Curves
Publicado por
Springer New York, Springer US, 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9780387984292
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Moduli of Curves
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
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Moduli of Curves
Publicado por
Springer-Verlag New York Inc., 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
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Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
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Paperback / softback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1230. Nº de ref. del artículo: C9780387984292
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