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for questions on geometric invariant theory (or GIT), including stability criteria and symplectic quotients.
5
votes
0
answers
165
views
question about relative stable maps
Let $C$ be a connected smooth curve, $0\in C$ a closed point and $W\rightarrow C$ a family of projective schemes. Assume that the fibers $W_t$ of $W$ are smooth for all $t\neq 0$ and that $W_0=Y_1\cup …
5
votes
0
answers
218
views
Normalization of quotient stacks
Suppose you have a Deligne Mumford stack which is a quotient $[X/G]$ of a scheme $X$ by an algebraic group $G$ .
What is the normalization of that? Is it true that its normalization is a quotient st …