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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© 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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