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Results tagged with flatness
Search options questions only
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user 46578
5
votes
1
answer
392
views
Covering of schemes and flatness
Let $f:X \to Y$ be a finite surjective morphism of quasi-projective schemes over $\mathbb{C}$, $X$ is reduced and $Y$ is integral. Suppose that there exists an integer $n$ such that for every closed p …
- 833
5
votes
1
answer
759
views
When is the flatness locus non-empty
Under what additional condition on $f$ (other than flatness/ generic flatness) does there exist a non-empty open set $U$ of $X$ such that $f|_U$ is flat? …
- 833
2
votes
0
answers
286
views
$\delta$-functor and commutativity of pull-back with right derivation
Let $f:X \to Y$ be a faithfully flat projective morphism of noetherial $\mathbb{C}$-schemes. Assume that $Y$ is affine, smooth over $\mathbb{C}$. Let $y \in Y$ be a closed point with residue field, sa …
- 833