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Algebra : From the Viewpoint of Galois Theory / / by Siegfried Bosch
| Algebra : From the Viewpoint of Galois Theory / / by Siegfried Bosch |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (XV, 352 p. 13 illus.) |
| Disciplina | 512.32 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Algebraic fields
Polynomials Algebraic geometry Field Theory and Polynomials Algebraic Geometry |
| ISBN | 3-319-95177-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Elementary Group Theory -- Rings and Polynomials -- Algebraic Field Extensions -- Galois Theory -- More on Group Theory -- Applications of Galois Theory -- Transcendental Field Extensions. |
| Record Nr. | UNINA-9910300106403321 |
Bosch Siegfried
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic Geometry and Commutative Algebra [[electronic resource] /] / by Siegfried Bosch
| Algebraic Geometry and Commutative Algebra [[electronic resource] /] / by Siegfried Bosch |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (514 p.) |
| Disciplina | 516.35 |
| Collana | Universitext |
| Soggetto topico |
Algebraic geometry
Commutative algebra Commutative rings Algebraic Geometry Commutative Rings and Algebras |
| ISBN | 1-4471-4829-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Rings and Modules -- The Theory of Noetherian Rings -- Integral Extensions -- Extension of Coefficients and Descent -- Homological Methods: Ext and Tor -- Affine Schemes and Basic Constructions -- Techniques of Global Schemes -- Etale and Smooth Morphisms -- Projective Schemes and Proper Morphisms. |
| Record Nr. | UNINA-9910438150003321 |
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Bosch Siegfried
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| London : , : Springer London : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Formal and Rigid Geometry [[electronic resource] /] / by Siegfried Bosch
| Lectures on Formal and Rigid Geometry [[electronic resource] /] / by Siegfried Bosch |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (VIII, 254 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mathematics
Algebraic geometry Number theory Mathematics, general Algebraic Geometry Number Theory |
| ISBN | 3-319-04417-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical Rigid Geometry -- Tate Algebras -- Affinoid Algebras and their Associated Spaces -- Affinoid Functions -- Towards the Notion of Rigid Spaces -- Coherent Sheaves on Rigid Spaces -- Formal Geometry -- Adic Rings and their Associated Formal Schemes -- Raynaud's View on Rigid Spaces -- More Advanced Stuff -- Appendix -- References -- Index. |
| Record Nr. | UNISA-996202532703316 |
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Bosch Siegfried
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Lectures on Formal and Rigid Geometry / / by Siegfried Bosch
| Lectures on Formal and Rigid Geometry / / by Siegfried Bosch |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (VIII, 254 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mathematics
Algebraic geometry Number theory Mathematics, general Algebraic Geometry Number Theory |
| ISBN | 3-319-04417-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical Rigid Geometry -- Tate Algebras -- Affinoid Algebras and their Associated Spaces -- Affinoid Functions -- Towards the Notion of Rigid Spaces -- Coherent Sheaves on Rigid Spaces -- Formal Geometry -- Adic Rings and their Associated Formal Schemes -- Raynaud's View on Rigid Spaces -- More Advanced Stuff -- Appendix -- References -- Index. |
| Record Nr. | UNINA-9910300141503321 |
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Bosch Siegfried
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Néron Models [[electronic resource] /] / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud
| Néron Models [[electronic resource] /] / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 1990.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (X, 328 p.) |
| Disciplina | 516.35 |
| Collana | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| Soggetto topico |
Algebraic geometry
Algebraic Geometry |
| ISBN | 3-642-51438-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 of Connected 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. |
| Record Nr. | UNINA-9910480014503321 |
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Bosch Siegfried
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Néron Models [[electronic resource] /] / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud
| Néron Models [[electronic resource] /] / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 1990.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (X, 328 p.) |
| Disciplina | 516.35 |
| Collana | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| Soggetto topico |
Algebraic geometry
Algebraic Geometry |
| ISBN | 3-642-51438-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 of Connected 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. |
| Record Nr. | UNINA-9910789209803321 |
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Bosch Siegfried
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Néron Models / / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud
| Néron Models / / by Siegfried Bosch, Werner Lütkebohmert, Michel Raynaud |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 1990.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (X, 328 p.) |
| Disciplina | 516.35 |
| Collana | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| Soggetto topico |
Algebraic geometry
Algebraic Geometry |
| ISBN | 3-642-51438-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 of Connected 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. |
| Record Nr. | UNINA-9910807080603321 |
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Bosch Siegfried
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||