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.: UNINA9910480418103321
• 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; Electronic books.
• 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 formsâ€?a survey""; ""Representations by spinor genera of ternary quadratic forms""; ""A survey and a complement of fundamental Hermite constants""