Quadratic Forms, Linear Algebraic Groups, and Cohomology

Front Matter....Pages i-x
Front Matter....Pages 1-1
Multiples of forms....Pages 3-11
On Saltman’s p -Adic Curves Papers....Pages 13-39
Serre’s Conjecture II: A Survey....Pages 41-56
Field Patching, Factorization, and Local–Global Principles....Pages 57-82
Deformation Theory and Rational Points on Rationally Connected Varieties....Pages 83-108
Recent Progress on the Kato Conjecture....Pages 109-124
Elliptic Curves and Iwasawa’s µ = 0 Conjecture....Pages 125-135
Cohomological Invariants of Central Simple Algebras with Involution....Pages 137-171
Witt Groups of Varieties and the Purity Problem....Pages 173-185
Front Matter....Pages 187-187
Some Extensions and Applications of the Eisenstein Irreducibility Criterion....Pages 189-197
On the Kernel of the Rost Invariant for E 8 Modulo 3....Pages 199-214
Une version du théorème d’Amer et Brumer pour les zéro-cycles....Pages 215-223
Quaternion Algebras with the Same Subfields....Pages 225-238
Lifting of Coefficients for Chow Motives of Quadrics....Pages 239-247
Upper Motives of Outer Algebraic Groups....Pages 249-257
Triality and étale algebras....Pages 259-286
Remarks on Unimodular Rows....Pages 287-293
Vector Bundles Generated by Sections and Morphisms to Grassmannians....Pages 295-303
Adams Operations and the Brown-Gersten-Quillen Spectral Sequence....Pages 305-313
Non-self-dual Stably Free Modules....Pages 315-324
Front Matter....Pages 187-187
Homotopy Invariance of the Sheaf W Nis and of Its Cohomology....Pages 325-335
Imbedding Quasi-split Groups in Isotropic Groups....Pages 337-348