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1
vote
1
answer
355
views
Relative generic flatness.
It is known that any morphism is flat at an open set of points. I'd like to know if there is a relative version of this fact.
Let $f: X \rightarrow Y$ and $g:Y \rightarrow S$ be morphisms of varieti …
10
votes
2
answers
1k
views
Resolution of singularities for flat families.
Is there a resolution of singularities for flat families?
More precisely, if $X \rightarrow \mathbb{A} ^n$ is a flat map, does there exist a map $Y \rightarrow X$ such that, for every $p \in \mathbb{ …