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Results tagged with ag.algebraic-geometry
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user 35361
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
7
votes
Accepted
Deformation theory of octonion algebras?
I can answer my own question, upon finding the 1959 paper "The arithmetics of octaves and the group ${\rm{G}}_2$" by van der Blij and Springer in the library this morning (pp. 406-418 in volume 21 of …
- 375
9
votes
1
answer
573
views
Deformation theory of octonion algebras?
In Grothendieck's Brauer group papers, he uses deformation theory to bootstrap the theory of central simple algebras over a field to the theory of Azumaya algebras over rings (and schemes). I am surpr …
- 375
14
votes
Accepted
Etale cohomology of the completion of a Henselian local ring
You probably meant to assume $R$ and $S$ are noetherian. The answer is "no" to the initial hypergeneral part of the question. EDIT: In the 2nd half (below the long line), I now give a proof of an aff …
- 375
5
votes
Accepted
Algebraic varieties in "mixed" affine spaces
The product of Weil restrictions $P = \prod_{i=1}^n {\rm{R}}_{F_i/K}(\mathbf{A}^1_{F_i})$ is naturally a closed subscheme of the direct product $\prod_{i=1}^n {\rm{R}}_{L/K}(\mathbf{A}^1_L) = {\rm{R}} …
- 375