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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

8 votes
2 answers
3k views

Lie algebras of algebraic groups

Where can i find material about the definition of the exponential morphism from the Lie algebra of an algebraic affine group to the group?
1 vote
0 answers
212 views

1-Parameter subgroups

Let $G$ be an affine reductive group defined over a field of characteristic zero $k$, denote by $\bar{k}$ the algebraic closure of $k$, and by $k^{\times}$ the multiplicative group of $k$. Let $Z(G)$ …
2 votes
0 answers
647 views

Closed orbits and reductive groups

Let $G$ be a reductive algebraic group defined over a field $k$ and $X$ an affine $G$-variety. In the case $k$ is algebraically closed we have the following result: Let $x\in X$ such that the orbit …