Neron Models - nouveau livre
2012, ISBN: 9783642514388
eBooks, eBook Download (PDF), Neron models were invented by A. Neron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arith… Plus…
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Néron Models - nouveau livre
ISBN: 9783642514388
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geom… Plus…
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ISBN: 9783642514388
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geomet… Plus…
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Neron Models - nouveau livre
ISBN: 9783642514388
; PDF; Scientific, Technical and Medical > Mathematics > Number theory, John Benjamins Publishing Company
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Neron Models - nouveau livre
2012, ISBN: 9783642514388
eBook Download (PDF), eBooks, [PU: Springer Berlin Heidelberg]
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Neron Models - nouveau livre
2012, ISBN: 9783642514388
eBooks, eBook Download (PDF), Neron models were invented by A. Neron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arith… Plus…
Siegfried Bosch; Werner Lütkebohmert; Michel Raynaud:
Néron Models - nouveau livreISBN: 9783642514388
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geom… Plus…
ISBN: 9783642514388
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geomet… Plus…
Neron Models - nouveau livre
ISBN: 9783642514388
; PDF; Scientific, Technical and Medical > Mathematics > Number theory, John Benjamins Publishing Company
Neron Models - nouveau livre
2012, ISBN: 9783642514388
eBook Download (PDF), eBooks, [PU: Springer Berlin Heidelberg]
Données bibliographiques du meilleur livre correspondant
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Informations détaillées sur le livre - Neron Models
EAN (ISBN-13): 9783642514388
Date de parution: 2012
Editeur: Springer Berlin Heidelberg
Livre dans la base de données depuis 2016-11-27T21:35:44+01:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-05T14:40:30+01:00 (Zurich)
ISBN/EAN: 9783642514388
ISBN - Autres types d'écriture:
978-3-642-51438-8
Autres types d'écriture et termes associés:
Auteur du livre: raynaud, alexiadou, siegfried bosch, siegfried werner
Données de l'éditeur
Auteur: Siegfried Bosch; Werner Lütkebohmert; Michel Raynaud
Titre: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge; Néron Models - A Series of Modern Surveys in Mathematics
Editeur: Springer; Springer Berlin
328 Pages
Date de parution: 2012-12-06
Berlin; Heidelberg; DE
Langue: Anglais
171,19 € (DE)
176,00 € (AT)
201,00 CHF (CH)
Available
X, 328 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Abelsche Varietäten; Algebra; Algebraische Gruppen; Arithmetic; Invariant; Jacobi-Varietäten; Picard-Functor; geometry; proof; theorem; C; Algebraic Geometry; Mathematics and Statistics; BB
1. What Is a Néron Model?.- 1.1 Integral Points.- 1.2 Néron Models.- 1.3 The Local Case: Main Existence Theorem.- 1.4 The Global Case: Abelian Varieties.- 1.5 Elliptic Curves.- 1.6 Néron’s Original Article.- 2. Some Background Material from Algebraic Geometry.- 2.1 Differential Forms.- 2.2 Smoothness.- 2.3 Henselian Rings.- 2.4 Flatness.- 2.5 S-Rational Maps.- 3. The Smoothening Process.- 3.1 Statement of the Theorem.- 3.2 Dilatation.- 3.3 Néron’s Measure for the Defect of Smoothness.- 3.4 Proof of the Theorem.- 3.5 Weak Néron Models.- 3.6 Algebraic Approximation of Formal Points.- 4. Construction of Birational Group Laws.- 4.1 Group Schemes.- 4.2 Invariant Differential Forms.- 4.3 R-Extensions of K-Group Laws.- 4.4 Rational Maps into Group Schemes.- 5. From Birational Group Laws to Group Schemes.- 5.1 Statement of the Theorem.- 5.2 Strict Birational Group Laws.- 5.3 Proof of the Theorem for a Strictly Henselian Base.- 6. Descent.- 6.1 The General Problem.- 6.2 Some Standard Examples of Descent.- 6.3 The Theorem of the Square.- 6.4 The Quasi-Projectivity of Torsors.- 6.5 The Descent of Torsors.- 6.6 Applications to Birational Group Laws.- 6.7 An Example of Non-Effective Descent.- 7. Properties of Néron Models.- 7.1 A Criterion.- 7.2 Base Change and Descent.- 7.3 Isogenies.- 7.4 Semi-Abelian Reduction.- 7.5 Exactness Properties.- 7.6 Weil Restriction.- 8. The Picard Functor.- 8.1 Basics on the Relative Picard Functor.- 8.2 Representability by a Scheme.- 8.3 Representability by an Algebraic Space.- 8.4 Properties.- 9. Jacobians of Relative Curves.- 9.1 The Degree of Divisors.- 9.2 The Structure of Jacobians.- 9.3 Construction via Birational Group Laws.- 9.4 Construction via Algebraic Spaces.- 9.5 Picard Functor and Néron Models of Jacobians.- 9.6 The Group ofConnected Components of a Néron Model.- 9.7 Rational Singularities.- 10. Néron Models of Not Necessarily Proper Algebraic Groups.- 10.1 Generalities.- 10.2 The Local Case.- 10.3 The Global Case.Autres livres qui pourraient ressembler au livre recherché:
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