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Witt Groups of Varieties and the Purity Problem

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Quadratic Forms, Linear Algebraic Groups, and Cohomology

Part of the book series: Developments in Mathematics ((DEVM,volume 18))

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Summary

We provide a general algorithm used to prove purity for functors with transfers. As a basic example we consider the Witt group of an algebraic variety.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Ottawa, 585 King Edward, Ottawa, ON, Canada

    Kirill Zainoulline

Authors
  1. Kirill Zainoulline
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Correspondence to Kirill Zainoulline .

Editor information

Editors and Affiliations

  1. CNRS, Labo. Mathématiques, Université Paris-Sud XI, Orsay CX, 91405, France

    Jean-Louis Colliot-Thélène

  2. Dept. Mathematics &, Computer Science, Emory University, Dowman Dr. 400, Atlanta, 30322, USA

    Skip Garibaldi

  3. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Rd., Mumbai, 400005, India

    R. Sujatha

  4. Dept. Mathematics & Statistics, University of Hyderabad, Hyderabad, 500046, India

    Venapally Suresh

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Zainoulline, K. (2010). Witt Groups of Varieties and the Purity Problem. In: Colliot-Thélène, JL., Garibaldi, S., Sujatha, R., Suresh, V. (eds) Quadratic Forms, Linear Algebraic Groups, and Cohomology. Developments in Mathematics, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6211-9_9

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