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Motives of Quadrics with Applications to the Theory of Quadratic Forms

Part of the Lecture Notes in Mathematics book series (LNM,volume 1835)

Abstract

This text is the notes of my lectures at the mini-course “Méthodes géométriques en théorie des formes quadratiques” at the Université d’Artois, Lens, June 26-28, 2000. However, some extra material is added. I tried to make the material more accessible for the reader. So, complicated technical proofs are presented in a separate section. Applications are discussed in the last two sections. In particular, splitting patterns of quadratic forms of odd dimension ≤21 or of even dimension ≤12 are determined in the last section.

Keywords

  • Quadratic Form
  • Direct Summand
  • Chow Group
  • Splitting Pattern
  • Tate Motive

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Alexander Vishik .

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© 2004 Springer-Verlag

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Vishik, A. (2004). Motives of Quadrics with Applications to the Theory of Quadratic Forms. In: Tignol, JP. (eds) Geometric Methods in the Algebraic Theory of Quadratic Forms. Lecture Notes in Mathematics, vol 1835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40990-8_2

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  • DOI: https://doi.org/10.1007/978-3-540-40990-8_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20728-3

  • Online ISBN: 978-3-540-40990-8

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