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El. knyga: Quadratic Forms, Linear Algebraic Groups, and Cohomology

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  • Formatas: PDF+DRM
  • Serija: Developments in Mathematics 18
  • Išleidimo metai: 16-Jul-2010
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781441962119
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  • Formatas: PDF+DRM
  • Serija: Developments in Mathematics 18
  • Išleidimo metai: 16-Jul-2010
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781441962119
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We dedicate this volume to Professor Parimala on the occasion of her 60th birthday. It contains a variety of papers related to the themes of her research. Parimala's rst striking result was a counterexample to a quadratic analogue of Serre's conjecture (Bulletin of the American Mathematical Society, 1976). Her in uence has cont- ued through her tenure at the Tata Institute of Fundamental Research in Mumbai (1976-2006),and now her time at Emory University in Atlanta (2005-present). A conference was held from 30 December 2008 to 4 January 2009, at the U- versity of Hyderabad, India, to celebrate Parimala's 60th birthday (see the conf- ence's Web site at http://mathstat.uohyd.ernet.in/conf/quadforms2008). The or- nizing committee consisted of J.-L. Colliot-Thel ' en ' e, Skip Garibaldi, R. Sujatha, and V. Suresh. The present volume is an outcome of this event. We would like to thank all the participants of the conference, the authors who have contributed to this volume, and the referees who carefully examined the s- mitted papers. We would also like to thank Springer-Verlag for readily accepting to publish the volume. In addition, the other three editors of the volume would like to place on record their deep appreciation of Skip Garibaldi's untiring efforts toward the nal publication.
Surveys.- Multiples of forms.- On Saltmans p-Adic Curves Papers.-
Serres Conjecture II: A Survey.- Field Patching, Factorization, and
LocalGlobal Principles.- Deformation Theory and Rational Points on
Rationally Connected Varieties.- Recent Progress on the Kato Conjecture.-
Elliptic Curves and Iwasawas 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 théorčme dAmer 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.