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Results tagged with quadratic-forms
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user 17907
Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
8
votes
Accepted
Is any quadric birational to a product of Brauer-Severi varieties?
Consider the projective quadric $V$ given by
$$
2x^2+y^2+z^2+w^2=0
$$
over $\mathbb{Q}$. Inspired by Jason Starr's remark on splitting fields, I will prove that $V$ is not birational to a product of S …
- 4,746
4
votes
Pythagorean number in Artin's theorem on nonnegative rational fractions
Apparently, we have $N \leq 2^n$. See these slides by Jean-Louis Colliot-Thélène, belonging to a lecture he gave in Leiden in 2011:
http://www.math.u-psud.fr/~colliot/Kloostermanlezing.pdf
First, he w …
- 4,746