Algebraic and Arithmetic Theory of Quadratic Forms.

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Baeza, Ricardo
Otros Autores: Hsia, John S., Jacob, Bill
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2004.
Colección:Contemporary Mathematics.
Temas:
Forms, Quadratic > Congresses.
Mathematics.
Physical Sciences & Mathematics.
Algebra.
Formes quadratiques > Congrès.
Forms, Quadratic
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • On representation by quadratic Fq[x]-latticesDiagonal forms of degree p in characteristic p
  • 1. Introduction
  • 2. Basic results
  • 3. A representation theorem à la Cassels-Pfister
  • 4. The norm field, the norm degree, and quasi-Pfister forms
  • 5. Behaviour of p-forms under algebraic field extensions
  • 6. Similarity factors of p-forms and a norm theorem à la Knebusch
  • 7. The behaviour of p-forms under function field extensions of p-forms
  • 7.1 The definition of the function field of a p-form
  • 7.2 The algebraic closure of the base field inside the function field of a p-form7.3 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 InRecent 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 counting5. 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

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