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Results tagged with geometric-invariant-theory
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user 70593
for questions on geometric invariant theory (or GIT), including stability criteria and symplectic quotients.
3
votes
0
answers
269
views
Can one construct the GIT quotient of a projective bundle?
Let $G=PGL(n)$ act on a smooth projective scheme $X$ over $\mathbb{C}$ with nontrivial finite stabilizers ($\cong \mathbb{Z}/2\mathbb{Z}$) only along a divisor $D\subset X$. Furthermore there a is a g …
- 1,025
3
votes
2
answers
370
views
Is this quotient of a threefold known? What are its singularities?
Assume $G$ is the Klein four group $G=\{1,\sigma_1,\sigma_2,\sigma_3\}$.
Let $G$ act on $X=\mathbb{A}^2\times\mathbb{P}^1$ via:
$$\sigma_1\cdot(x,y,[\lambda:\mu])=(-x,y,[\lambda:-\mu]) \text{ and } …
- 1,025