Quadratic Forms, Linear Algebraic Groups, and Cohomology

2010. Auflage 2010
ISBN: 978-1-4419-6210-2
Verlag: Springer

Buch, Englisch, Französisch, 348 Seiten, Format (B × H): 165 mm x 243 mm, Gewicht: 1500 g

Reihe: Developments in Mathematics

Presents the most recent research and developments in quadratic forms, linear algebraic groups and cohomology Dedicated to R. Parimala on the ocassion of her 60th birthday, containing a variety of papers related to the themes of her research Includes results on the following special topics: Iwasawa theory, Witt groups and sheafs, Chow motives, quaternion algebras, p-adic curves, and a proof of the Serre's Conjecture II for function fields of complex surfaces Includes supplementary material: sn.pub/extras

Zielgruppe

Research

Autoren/Hrsg.

Garibaldi, Skip

Sujatha, R.

Suresh, Venapally

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

Surveys.- Multiples of forms.- On Saltman’s p-Adic Curves Papers.- Serre’s Conjecture II: A Survey.- Field Patching, Factorization, and Local–Global Principles.- Deformation Theory and Rational Points on Rationally Connected Varieties.- Recent Progress on the Kato Conjecture.- Elliptic Curves and Iwasawa’s µ = 0 Conjecture.- Cohomological Invariants of Central Simple Algebras with Involution.- Witt Groups of Varieties and the Purity Problem.- Invited articles.- Some Extensions and Applications of the Eisenstein Irreducibility Criterion.- On the Kernel of the Rost Invariant for E8 Modulo 3.- Une version du théorème d’Amer et Brumer pour les zéro-cycles.- Quaternion Algebras with the Same Subfields.- Lifting of Coefficients for Chow Motives of Quadrics.- Upper Motives of Outer Algebraic Groups.- Triality and étale algebras.- Remarks on Unimodular Rows.- Vector Bundles Generated by Sections and Morphisms to Grassmannians.- Adams Operations and the Brown-Gersten-Quillen Spectral Sequence.- Non-self-dual Stably Free Modules.- Homotopy Invariance of the Sheaf WNis and of Its Cohomology.- Imbedding Quasi-split Groups in Isotropic Groups.