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

0 votes
0 answers
301 views

Flat family of Hilbert scheme of points

Given $X$ a k3 surface and $X^{[r]}$ the Hilbert scheme of points on it, I know that the Hilbert-Chow morphism $\rho:X^{[r]}\rightarrow X^{(r)}$ to the symmetric product is birational and, said $D\sub …
Julio Amado's user avatar
1 vote
1 answer
598 views

Second cohomology on an open subset with complement of codimension 2

Let $X$ be a compact Kahler manifold of complex dimension $n$ and let $Y\subset X$ be an open subset such that $V:=X\setminus Y$ is of complex codimension 2. I know that by Hartogs' theorem follows $ …
Julio Amado's user avatar