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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 …
Rami's user avatar
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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{ …
Rami's user avatar
  • 2,639