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

• Record Nr.: UNINA9910788666203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2004]; ©2004
• ISBN: 0-8218-7934-0; 0-8218-3441-X
• Descrizione fisica: 1 online resource (364 p.)
• Collana: Contemporary mathematics ; ; 344
• Disciplina: 512.7/4
• Soggetti: Forms, Quadratic
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• 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.