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Results tagged with ag.algebraic-geometry
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user 54268
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
4
votes
Accepted
Global centralizers in Jordan-Chevalley decomposition in bad characteristic
The answer is affirmative for $G$ any smooth affine $k$-group. We may assume $p = {\rm{char}}(k) > 0$. By 14.26 in Borel's textbook on algebraic groups, $n$ is in the Lie algebra of a unipotent subgro …
- 236
4
votes
Weil restriction
This is false whenever $G \ne 1$ is either a split torus or connected semisimple and absolutely simple with $Y \ne X$. By passing to generic fiber over $X$, it suffices to show that if $K'/K$ is a fi …
- 236
10
votes
Are linear algebraic groups rigid?
A most excellent example of "non-rigidity" beyond the reductive case (depending on how loose one wants to be about the meaning of "rigidity")
is given in 5.2--5.10 of Exp. XIX of SGA3: a smooth affin …
- 236
4
votes
Obstruction and 1st order infinitesimal deformations of Generalized Elliptic Curves (Deligne...
Concerning #1, the twist on the sheaf is keeping track of the deformation of the identity section.
Concerning #2, in the residually reducible case a deformation of the underlying pointed curve need …
- 236