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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
7
votes
3
answers
1k
views
homomorphism into reductive groups
Let $k$ be an algebraically closed field with char($k$)$= p > 0$.
Let $P$ be a finite $p$-group. For any homomorphism
$\rho : P \rightarrow GL(n,k)$ we know that the image $im(\rho)$ can be
put insid …
4
votes
2
answers
1k
views
sections of the cotangent bundle of elliptic surfaces
Consider an elliptic surface $f :X \rightarrow C$ with $\chi(X) > 0$
or equivalently the fibration has a reduced singular fiber apart from possibly multiple fibers
(the field under consideration
is …
2
votes
0
answers
374
views
Parahoric group schemes over curves
Let $X$ be a smooth projective curve over $\mathbb{C}$ and Let $G$
be a complex reductive group. By a parahoric group scheme $\mathcal{G}$
over $X$, I mean a smooth group scheme over $X$ whose restric …