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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

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 …
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  • 135
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 …
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  • 135