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

5 votes
1 answer
327 views

Degree Bound in Bend and Break Lemmas

I have read the sections on the Bend & Break Lemmas in Koll\'ar-Mori and Debarre and have the following question. (See below for background and what I do know.) Question: I would like to know if the …
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3 votes
0 answers
267 views

surjectivity of double dual map for weil divisors on normal varieties

If $X$ is a normal complex variety, and $D$ is an effective $\mathbb{Q}$-Cartier Weil divisor, then there is a natural map $\mathcal{O}(D) \otimes \mathcal{O}(-D) \rightarrow \mathcal{O}_X$. My quest …
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  • 83