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Results tagged with projective-morphisms
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user 10076
11
votes
Accepted
Generalization of the rigidity lemma in birational geometry
EDIT: I've just realized that this holds under somewhat weaker assumptions. It is not necessary that the fibers of $g$ are connected.
EDIT#2: Apparently, in my previous edit I weakened the conditions …
- 42.9k
4
votes
Accepted
Morphisms contracting a family of curves
Actually, this is true in more generality:
You don't need $f, X$, or $Y$ to be normal or projective (this is of course, trivial, they are all red herrings). You only need $g$ to be proper (I suppose …
- 42.9k