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Cover: 9780387984292 | Moduli of Curves | Ian Morrison (u. a.) | Taschenbuch | Paperback
Bild: 9780387984292 | Moduli of Curves | Ian Morrison (u. a.) | Taschenbuch | Paperback
Cover: 9780387984292 | Moduli of Curves | Ian Morrison (u. a.) | Taschenbuch | Paperback
Bild: 9780387984292 | Moduli of Curves | Ian Morrison (u. a.) | Taschenbuch | Paperback
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Moduli of Curves
Taschenbuch von Ian Morrison (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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. With over 180 exercises and 70 figures.
Inhaltsverzeichnis
Parameter spaces: Constructions and examples.- Basic facts about moduli spaces of curves.- Techniques.- Construction of $$ \overline M _g $$ .- Limit Linear Series and Brill-Noether theory.- Geometry of moduli spaces: Selected results.
Details
Erscheinungsjahr: 1998
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 388
Reihe: Graduate Texts in Mathematics
ISBN-13: 9780387984292
ISBN-10: 0387984291
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Morrison, Ian
Harris, Joe
Auflage: 1998
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 21 mm
Von/Mit: Ian Morrison (u. a.)
Erscheinungsdatum: 01.07.1998
Gewicht: 0,587 kg
preigu-id: 106873076
Zusammenfassung
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. With over 180 exercises and 70 figures.
Inhaltsverzeichnis
Parameter spaces: Constructions and examples.- Basic facts about moduli spaces of curves.- Techniques.- Construction of $$ \overline M _g $$ .- Limit Linear Series and Brill-Noether theory.- Geometry of moduli spaces: Selected results.
Details
Erscheinungsjahr: 1998
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 388
Reihe: Graduate Texts in Mathematics
ISBN-13: 9780387984292
ISBN-10: 0387984291
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Morrison, Ian
Harris, Joe
Auflage: 1998
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 235 x 155 x 21 mm
Von/Mit: Ian Morrison (u. a.)
Erscheinungsdatum: 01.07.1998
Gewicht: 0,587 kg
preigu-id: 106873076
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