Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Moduli of Curves: 187 (Graduate Texts in Mathematics,...
Beispielbild für diese ISBN
Moduli of Curves (Graduate Texts in Mathematics, 187)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Artikel-Nr. ria9780387984292_new
Neu kaufen
EUR 69,25
Versand:
EUR 13,62
Von Vereinigtes Königreich nach USA
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Moduli of Curves. (Graduate Texts in Mathematics, 187).
Anbieter: Antiquariaat Ovidius, Bredevoort, Niederlande
Verkäuferbewertung 4 von 5 Sternen
Zustand: Gebraucht / Used. Paperback. Very good. Xiii,366pp. Artikel-Nr. 112905
Gebraucht kaufen
EUR 64,00
Versand:
EUR 22,00
Von Niederlande nach USA
Anzahl: 1 verfügbar
Foto des Verkäufers
Moduli of Curves
Verlag:
Springer New York, Springer US Jul 1998, 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Neuware -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. 388 pp. Englisch. Artikel-Nr. 9780387984292
Neu kaufen
EUR 69,54
Versand:
EUR 60,00
Von Deutschland nach USA
Anzahl: 2 verfügbar
Foto des Verkäufers
Moduli of Curves
Anbieter: preigu, Osnabrück, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Moduli of Curves | Joe Harris (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 1998 | Springer | EAN 9780387984292 | Verantwortliche Person für die EU: Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu. Artikel-Nr. 106873076
Neu kaufen
EUR 62,20
Versand:
EUR 70,00
Von Deutschland nach USA
Anzahl: 5 verfügbar
Foto des Verkäufers
Moduli of Curves
Verlag:
Springer New York, Springer US, 1998
ISBN 10: 0387984291
ISBN 13: 9780387984292
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: 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. Artikel-Nr. 9780387984292
Neu kaufen
EUR 74,46
Versand:
EUR 62,94
Von Deutschland nach USA
Anzahl: 1 verfügbar