# Tagged Questions

**5**

votes

**2**answers

254 views

### Quotient of a reductive group by a non-smooth subgroup

This is a continuation of my question Quotient of a reductive group by a non-smooth central finite subgroup.
Let $G$ be a smooth, connected, reductive $k$-group over a field $k$ of characteristic ...

**5**

votes

**1**answer

239 views

### Conjugation of homogeneous spaces

Let $X$ be a smooth irreducible algebraic variety
over the field of complex numbers ${\mathbb{C}}$.
Let $x\in X({\mathbb{C}})$.
Let $\tau$ be an automorphism of ${\mathbb{C}}$ (not necessarily ...

**7**

votes

**2**answers

320 views

### When is an orbit spherical?

I asked the following question over at math.stackexchange, but got no answers. Maybe it's less well-known than I thought, but I still wanted to ask here:
Let's assume we have an affine, reductive, ...

**5**

votes

**2**answers

411 views

### Why $G\to G/H$ is faithfully flat?

Some questions about algebraic groups.
Let $G$ be an affine algebraic group over algebraically closed field $k$.
Questions: Let $H$ be a closed subgroup of $G$, then (as I learnt from some paper) ...

**5**

votes

**0**answers

285 views

### More familiar description of wonderful compactification of SL_n/S(GL_2 \times GL_n-2)

I am trying to learn a bit about spherical geometry and wonderful compactifications. Please correct any misconceptions. If I've understood http://www.springerlink.com/content/x62342v721707828/ ...