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Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors
| Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7934-0
0-8218-3441-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Conference participants""; ""The Milnor sequence for WqF(x) in characteristic 2 when F is perfect""; ""Spinor norm for local skew-Hermitian forms""; ""An introduction to triangular Witt groups and a survey of applications""; ""Regularity properties of positive definite integral quadratic forms""; ""Effective results on representations of quadratic forms""; ""Quaternary quadratic forms and Hilbert modular surfaces""; ""Real semigroups and abstract real spectra. I""; ""The role of characteristic vectors in the neighbour lattice process""
""7.2 The algebraic closure of the base field inside the function field of a p-form""""7.3 p-splitting of a p-form over the function field of a p-form""; ""7.4 Isotropy of p-forms over function fields of p-forms""; ""7.5 Some remarks on height and splitting patterns of p-forms""; ""7.6 Some applications to quasi-Pfister neighbors""; ""8. The behaviour of differential forms under function field extensions of p-forms""; ""Local densities and the representations of an integer by a definite quadratic form""; ""Periodicity of Hermitian K-theory and Milnors K-groups"" ""Third proof of second gap in dimensions of quadratic forms from In""""Recent developments on universal forms""; ""Special Siegel modular forms and singular series polynomials of quadratic forms""; ""Quasi-hyperbolicity of totally singular quadratic forms""; ""Witt kernels of triquadratic extensions""; ""Anti-automorphisms of the second kind""; ""Reduction modulo 2 and 3 of Euclidean lattices, II""; ""The elementary type conjecture in quadratic form theory""; ""1. Quadratic form schemes""; ""2. Quaternionic mappings and Witt rings""; ""3. Elementary constructions"" ""4. Uniqueness results and counting""""5. The reduced case""; ""6. The case of small value sets""; ""7. The case of few quaternion algebras""; ""8. Quotients""; ""9. Morphisms and field extensions""; ""10. Connections to Galois theory""; ""On Hilbert's theorem about ternary quartics""; ""Representation by integral quadratic forms�a survey""; ""Representations by spinor genera of ternary quadratic forms""; ""A survey and a complement of fundamental Hermite constants"" |
| Record Nr. | UNINA-9910480418103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors
| Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| ISBN |
0-8218-7934-0
0-8218-3441-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Conference Participants -- The Milnor Sequence For Wqf(X) In Characteristic 2 When F Is Perfect -- Spinor Norm For Local Skew-Hermitian Forms -- An Introduction To Triangular Witt Groups And A Survey Of Applications -- Regularity Properties Of Positive Definite Integral Quadratic Forms -- Effective Results On Representations Of Quadratic Forms -- Quaternary Quadratic Forms And Hilbert Modular Surfaces -- Real Semigroups And Abstract Real Spectra. I -- The Role Of Characteristic Vectors in the Neighbour Lattice Process -- 7.2 The Algebraic Closure Of The Base Field Inside The Function Field Of A P-Form -- 7.3 P-Splitting Of A P-Form Over The Function Field Of A P-Form -- 7.4 Isotropy Of P-Forms Over Function Fields Of P-Forms -- 7.5 Some Remarks On Height And Splitting Patterns Of P-Forms -- 7.6 Some Applications To Quasi-Pfister Neighbors -- 8. The Behaviour Of Differential Forms Under Function Field Extensions Of P-Forms -- Local Densities And The Representations Of An Integer By A Definite Quadratic Form -- Periodicity Of Hermitian K-Theory And Milnors K-Groups -- Third Proof Of Second Gap In Dimensions Of Quadratic Forms From In -- Recent Developments On Universal Forms -- Special Siegel Modular Forms And Singular Series Polynomials Of Quadratic Forms -- Quasi-Hyperbolicity Of Totally Singular Quadratic Forms -- Witt Kernels Of Triquadratic Extensions -- Anti-Automorphisms Of The Second Kind -- Reduction Modulo 2 And 3 Of Euclidean Lattices, Ii -- The Elementary Type Conjecture In Quadratic Form Theory -- 1. Quadratic Form Schemes -- 2. Quaternionic Mappings And Witt Rings -- 3. Elementary Constructions -- 4. Uniqueness Results And Counting -- 5. The Reduced Case -- 6. The Case Of Small Value Sets -- 7. The Case Of Few Quaternion Algebras -- 8. Quotients -- 9. Morphisms And Field Extensions -- 10. Connections To Galois Theory -- On Hilbert's Theorem About Ternary Quartics -- Representation By Integral Quadratic Forms: A Survey -- Representations By Spinor Genera Of Ternary Quadratic Forms -- A Survey And A Complement Of Fundamental Hermite Constants. |
| Altri titoli varianti | Quadratic forms |
| Record Nr. | UNINA-9910788666203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors
| Algebraic and arithmetic theory of quadratic forms : proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (364 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| ISBN |
0-8218-7934-0
0-8218-3441-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Conference Participants -- The Milnor Sequence For Wqf(X) In Characteristic 2 When F Is Perfect -- Spinor Norm For Local Skew-Hermitian Forms -- An Introduction To Triangular Witt Groups And A Survey Of Applications -- Regularity Properties Of Positive Definite Integral Quadratic Forms -- Effective Results On Representations Of Quadratic Forms -- Quaternary Quadratic Forms And Hilbert Modular Surfaces -- Real Semigroups And Abstract Real Spectra. I -- The Role Of Characteristic Vectors in the Neighbour Lattice Process -- 7.2 The Algebraic Closure Of The Base Field Inside The Function Field Of A P-Form -- 7.3 P-Splitting Of A P-Form Over The Function Field Of A P-Form -- 7.4 Isotropy Of P-Forms Over Function Fields Of P-Forms -- 7.5 Some Remarks On Height And Splitting Patterns Of P-Forms -- 7.6 Some Applications To Quasi-Pfister Neighbors -- 8. The Behaviour Of Differential Forms Under Function Field Extensions Of P-Forms -- Local Densities And The Representations Of An Integer By A Definite Quadratic Form -- Periodicity Of Hermitian K-Theory And Milnors K-Groups -- Third Proof Of Second Gap In Dimensions Of Quadratic Forms From In -- Recent Developments On Universal Forms -- Special Siegel Modular Forms And Singular Series Polynomials Of Quadratic Forms -- Quasi-Hyperbolicity Of Totally Singular Quadratic Forms -- Witt Kernels Of Triquadratic Extensions -- Anti-Automorphisms Of The Second Kind -- Reduction Modulo 2 And 3 Of Euclidean Lattices, Ii -- The Elementary Type Conjecture In Quadratic Form Theory -- 1. Quadratic Form Schemes -- 2. Quaternionic Mappings And Witt Rings -- 3. Elementary Constructions -- 4. Uniqueness Results And Counting -- 5. The Reduced Case -- 6. The Case Of Small Value Sets -- 7. The Case Of Few Quaternion Algebras -- 8. Quotients -- 9. Morphisms And Field Extensions -- 10. Connections To Galois Theory -- On Hilbert's Theorem About Ternary Quartics -- Representation By Integral Quadratic Forms: A Survey -- Representations By Spinor Genera Of Ternary Quadratic Forms -- A Survey And A Complement Of Fundamental Hermite Constants. |
| Altri titoli varianti | Quadratic forms |
| Record Nr. | UNINA-9910828845103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors
| Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8172-8
0-8218-4648-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of Participants""; ""H1(X, Î?) of conics and Witt kernels in characteristic 2""; ""Pythagoras numbers and quadratic field extensions""; ""On perfection relations in lattices""; ""Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms""; ""Representation of reduced special groups in algebras of continous functions""; ""Solubility of Fermat equations""; ""Multiplicative properties of integral binary quadratic forms""; ""Effective structure theorems for symplectic spaces via height""
""Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline)""""The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group""; ""On families of testing formulae for a pp formula""; ""Siegel modular forms of small weight and the Witt operator""; ""On isotropy of quadratic pairs""; ""Specialization of forms in the presence of characteristic 2: first steps""; ""Representation of integers by special positive definite integral quadratic forms"" ""Hyper-isotropy of bilinear forms in characteristic 2""""A historical view of the Pythagoras numbers of fields""; ""The extensions of R-places and application""; ""Essential dimension""; ""On the Pfister number of quadratic forms""; ""Martin Kneser�s work on quadratic forms and algebraic groups""; ""Enumerating perfect forms""; ""Reduction mod l of Theta Series of Level ln""; ""On a reciprocity theorem of Gauss""; ""A bound of the number of reduced Arakelov divisors of a number field"" |
| Record Nr. | UNINA-9910480165303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors
| Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| ISBN |
0-8218-8172-8
0-8218-4648-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- H1(X, Î?) of conics and Witt kernels in characteristic 2 -- Pythagoras numbers and quadratic field extensions -- On perfection relations in lattices -- Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms -- Representation of reduced special groups in algebras of continuous functions -- Solubility of Fermat equations -- Multiplicative properties of integral binary quadratic forms -- Effective structure theorems for symplectic spaces via height -- Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline) -- The first Zariski co-homology group of the Witt sheaf over a split simply connected simple algebraic group -- On families of testing formulae for a pp-formula -- Siegel modular forms of small weight and the Witt-operator -- On isotropy of quadratic pairs -- Specialization of forms in the presence of characteristic 2: first steps -- Representation of integers by special positive definite integral quadratic forms -- Hyper-isotropy of bilinear forms in characteristic 2 -- A historical view of the Pythagoras numbers of fields -- The extensions of R-places and application -- Essential dimension -- On the Pfister number of quadratic forms -- Martin Kneser's work on quadratic forms and algebraic groups -- Enumerating perfect forms -- Reduction mod-l of Theta Series of Level-ln -- On a reciprocity theorem of Gauss -- A bound of the number of reduced Arakelov divisors of a number field. |
| Record Nr. | UNINA-9910788797903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors
| Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2009] |
| Descrizione fisica | 1 online resource (424 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico | Forms, Quadratic |
| ISBN |
0-8218-8172-8
0-8218-4648-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of Participants -- H1(X, Î?) of conics and Witt kernels in characteristic 2 -- Pythagoras numbers and quadratic field extensions -- On perfection relations in lattices -- Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms -- Representation of reduced special groups in algebras of continuous functions -- Solubility of Fermat equations -- Multiplicative properties of integral binary quadratic forms -- Effective structure theorems for symplectic spaces via height -- Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline) -- The first Zariski co-homology group of the Witt sheaf over a split simply connected simple algebraic group -- On families of testing formulae for a pp-formula -- Siegel modular forms of small weight and the Witt-operator -- On isotropy of quadratic pairs -- Specialization of forms in the presence of characteristic 2: first steps -- Representation of integers by special positive definite integral quadratic forms -- Hyper-isotropy of bilinear forms in characteristic 2 -- A historical view of the Pythagoras numbers of fields -- The extensions of R-places and application -- Essential dimension -- On the Pfister number of quadratic forms -- Martin Kneser's work on quadratic forms and algebraic groups -- Enumerating perfect forms -- Reduction mod-l of Theta Series of Level-ln -- On a reciprocity theorem of Gauss -- A bound of the number of reduced Arakelov divisors of a number field. |
| Record Nr. | UNINA-9910815369603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2009] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||