Zur Startseite gehen
0,00 €*
Cover: 9783540520153 | Degeneration of Abelian Varieties | Ching-Li Chai (u. a.) | Buch | xii
Dekorationsartikel gehören nicht zum Leistungsumfang.
Degeneration of Abelian Varieties
Buch von Ching-Li Chai (u. a.)
Sprache: Englisch

119,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties. These compactifications have applications to diophantine problems and, of course, are also interesting in their own right. Degenerations of abelian varieties are given by maps G - S with S an irre­ ducible scheme and G a group variety whose generic fibre is an abelian variety. One would like to classify such objects, which, however, is a hopeless task in this generality. But for more specialized families we can obtain more: The most important theorem about degenerations is the stable reduction theorem, which gives some evidence that for questions of compactification it suffices to study semi-abelian families; that is, we may assume that G is smooth and flat over S, with fibres which are connected extensions of abelian varieties by tori. A further assumption will be that the base S is normal, which makes such semi-abelian families extremely well behaved. In these circumstances, we give a rather com­ plete classification in case S is the spectrum of a complete local ring, and for general S we can still say a good deal. For a complete base S = Spec(R) (R a complete and normal local domain) the main result about degenerations says roughly that G is (in some sense) a quotient of a covering G by a group of periods.
The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties. These compactifications have applications to diophantine problems and, of course, are also interesting in their own right. Degenerations of abelian varieties are given by maps G - S with S an irre­ ducible scheme and G a group variety whose generic fibre is an abelian variety. One would like to classify such objects, which, however, is a hopeless task in this generality. But for more specialized families we can obtain more: The most important theorem about degenerations is the stable reduction theorem, which gives some evidence that for questions of compactification it suffices to study semi-abelian families; that is, we may assume that G is smooth and flat over S, with fibres which are connected extensions of abelian varieties by tori. A further assumption will be that the base S is normal, which makes such semi-abelian families extremely well behaved. In these circumstances, we give a rather com­ plete classification in case S is the spectrum of a complete local ring, and for general S we can still say a good deal. For a complete base S = Spec(R) (R a complete and normal local domain) the main result about degenerations says roughly that G is (in some sense) a quotient of a covering G by a group of periods.
Zusammenfassung
This book is concerned with the theory of degenerations of abelian varieties and its applications, and provides a new approach to Siegel modular forms. Faltings is a Fields Medal winner.
Inhaltsverzeichnis
I. Preliminaries.- II. Degeneration of Polarized Abelian Varieties.- III. Mumford's Construction.- IV. Toroidal Compactification of Ag.- V. Modular Forms and the Minimal Compactification.- VI. Eichler Integrals in Several Variables.- VII. Hecke Operators and Frobenii.- Glossary of Notations.- An Analytic Construction of Degenerating Abelian Varieties over Complete Rings.- David Mumford.
Details
Erscheinungsjahr: 1991
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 336
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Inhalt: xii
318 S.
ISBN-13: 9783540520153
ISBN-10: 3540520155
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Chai, Ching-Li
Faltings, Gerd
Auflage: 1990
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 24 mm
Von/Mit: Ching-Li Chai (u. a.)
Erscheinungsdatum: 09.01.1991
Gewicht: 0,67 kg
Artikel-ID: 102141269
Zusammenfassung
This book is concerned with the theory of degenerations of abelian varieties and its applications, and provides a new approach to Siegel modular forms. Faltings is a Fields Medal winner.
Inhaltsverzeichnis
I. Preliminaries.- II. Degeneration of Polarized Abelian Varieties.- III. Mumford's Construction.- IV. Toroidal Compactification of Ag.- V. Modular Forms and the Minimal Compactification.- VI. Eichler Integrals in Several Variables.- VII. Hecke Operators and Frobenii.- Glossary of Notations.- An Analytic Construction of Degenerating Abelian Varieties over Complete Rings.- David Mumford.
Details
Erscheinungsjahr: 1991
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 336
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Inhalt: xii
318 S.
ISBN-13: 9783540520153
ISBN-10: 3540520155
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Chai, Ching-Li
Faltings, Gerd
Auflage: 1990
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 24 mm
Von/Mit: Ching-Li Chai (u. a.)
Erscheinungsdatum: 09.01.1991
Gewicht: 0,67 kg
Artikel-ID: 102141269
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780306803208 | The Human Use Of Human Beings | Cybernetics And Society | Wiener
The Human Use Of Human Beings
Cybernetics And Society
EAN: 9780306803208
Sprache: Englisch
Von/Mit: Norbert Wiener

18,20 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783834807779 | Lehrbuch der Analysis. Teil 1 | Harro Heuser | Taschenbuch | Paperback
Lehrbuch der Analysis. Teil 1
EAN: 9783834807779
Sprache: Deutsch
Von/Mit: Harro Heuser

44,99 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9783540850823 | Arbeitsbuch Statistik | Angelika Caputo (u. a.) | Taschenbuch | 2008
Arbeitsbuch Statistik
EAN: 9783540850823
Sprache: Deutsch
Von/Mit: Angelika Caputo (u. a.)

39,99 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9783528085582 | Symmetrie und Symmetriebrechung in der Physik | Henning Genz | Buch
Symmetrie und Symmetriebrechung in der Physik
EAN: 9783528085582
Sprache: Deutsch
Von/Mit: Henning Genz

79,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781316507094 | What is a Law of Nature? | D. M. Armstrong | Taschenbuch | Paperback
What is a Law of Nature?
EAN: 9781316507094
Sprache: Englisch
Von/Mit: D. M. Armstrong

30,00 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783319684383 | Mathematical Gauge Theory | Mark J. D. Hamilton | Taschenbuch | 2018
Mathematical Gauge Theory
With Applications to the Standard Model of Particle Physics
EAN: 9783319684383
Sprache: Englisch
Von/Mit: Mark J. D. Hamilton

84,40 €*

Lieferzeit 4-7 Werktage

Buch
Cover: 9783540778387 | Geometrie, Raum und Zeit | Felix Hausdorff | Buch | xx | Deutsch
Geometrie, Raum und Zeit
EAN: 9783540778387
Sprache: Deutsch
Von/Mit: Felix Hausdorff

119,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780201038125 | Surreal Numbers | Donald Knuth | Taschenbuch | Kartoniert / Broschiert
Surreal Numbers
EAN: 9780201038125
Sprache: Englisch
Von/Mit: Donald Knuth

25,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9780452285255 | Prime Obsession | John Derbyshire | Taschenbuch | Englisch | 2004
Prime Obsession
Berhhard Riemann and the Greatest Unsolved Problem in Mathematics
EAN: 9780452285255
Sprache: Englisch
Von/Mit: John Derbyshire

23,10 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9789081619462 | Dignified Dying | Boudewijn Chabot | Taschenbuch | Paperback | 2017
Dignified Dying
EAN: 9789081619462
Sprache: Englisch
Von/Mit: Boudewijn Chabot

24,60 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783746028217 | Das Wesen der Natur | Alfred North Whitehead | Taschenbuch | Paperback
Das Wesen der Natur
Die Tarner-Vorlesungen gehalten am Trinity College November 1919
EAN: 9783746028217
Sprache: Deutsch
Von/Mit: Alfred North Whitehead

22,00 €*

Lieferzeit 1-2 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...