2010, ISBN: 3642080731
[EAN: 9783642080739], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], ABELSCHEVARIETÄTEN; ALGEBRA; ALGEBRAISCHEGRUPPEN; ARITHMETIC; INVARIANT; JACOBI-VARIETÄTEN; PICARD-FUNCTOR; GEO… Altro …
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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 algebr… Altro …
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2010, ISBN: 9783642080739
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1990, 338 Seiten, Publiziert: 2010-12-01T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.67 kg, Verkau… Altro …
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2010, ISBN: 3642080731
Softcover reprint of the original 1st ed. 1990 Kartoniert / Broschiert Geometry; proof; theorem; AbelscheVarietäten; Algebra; AlgebraischeGruppen; Arithmetic; Invariant; Picard-Functor;… Altro …
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2010, ISBN: 9783642080739
Buch, Softcover, Softcover reprint of the original 1st ed. 1990, [PU: Springer Berlin], Springer Berlin, 2010
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2010, ISBN: 3642080731
[EAN: 9783642080739], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], ABELSCHEVARIETÄTEN; ALGEBRA; ALGEBRAISCHEGRUPPEN; ARITHMETIC; INVARIANT; JACOBI-VARIETÄTEN; PICARD-FUNCTOR; GEO… Altro …
ISBN: 9783642080739
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 algebr… Altro …
Néron Models (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 21) - edizione con copertina flessibile
2010
ISBN: 9783642080739
Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1990, 338 Seiten, Publiziert: 2010-12-01T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.67 kg, Verkau… Altro …
2010, ISBN: 3642080731
Softcover reprint of the original 1st ed. 1990 Kartoniert / Broschiert Geometry; proof; theorem; AbelscheVarietäten; Algebra; AlgebraischeGruppen; Arithmetic; Invariant; Picard-Functor;… Altro …
2010, ISBN: 9783642080739
Buch, Softcover, Softcover reprint of the original 1st ed. 1990, [PU: Springer Berlin], Springer Berlin, 2010
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Informazioni dettagliate del libro - Néron Models
EAN (ISBN-13): 9783642080739
ISBN (ISBN-10): 3642080731
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2010
Editore: Springer Berlin
340 Pagine
Peso: 0,606 kg
Lingua: eng/Englisch
Libro nella banca dati dal 2010-07-11T15:28:28+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2023-06-29T11:43:39+02:00 (Zurich)
ISBN/EAN: 9783642080739
ISBN - Stili di scrittura alternativi:
3-642-08073-1, 978-3-642-08073-9
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : bosch raynaud lütkebohmert, werner bösch, siegfried bosch, werner best, bosch lutkebohmert, grothendieck
Titolo del libro: mathematik, neron models, ergebnisse, surveys modern mathematics, nero, bosch
Dati dell'editore
Autore: Siegfried Bosch; Werner Lütkebohmert; Michel Raynaud
Titolo: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; Néron Models
Editore: Springer; Springer Berlin
328 Pagine
Anno di pubblicazione: 2010-12-01
Berlin; Heidelberg; DE
Stampato / Fatto in
Lingua: Inglese
181,89 € (DE)
186,99 € (AT)
201,00 CHF (CH)
POD
X, 328 p.
BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Abelsche Varietäten; Algebra; Algebraische Gruppen; Arithmetic; Invariant; Jacobi-Varietäten; Picard-Functor; geometry; proof; theorem; Algebraic Geometry; 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.Altri libri che potrebbero essere simili a questo:
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