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Results tagged with flatness
Search options questions only
not deleted
user 2234
3
votes
1
answer
356
views
flatness and reduction
Let $\mathcal J$ be an ideal sheaf on a (Noetherian) $Y$-scheme $X$, and let $\mathcal I$ be the unique primary ideal in a primary decomposition $\mathcal J$ corresponding to a minimal associated prim …
- 4,070
3
votes
2
answers
278
views
is intersection of a curve and a family of curves generically constant as a scheme?
(everything below is defined over an algebraically closed field)
Let $D$ be a (smooth) surface, and let $X \subset T \times D$ be a flat family of curves on $D$, where $T$ is irreducible. Let $E$ be …
- 4,070
5
votes
1
answer
891
views
sections of morphisms of complex spaces
A smooth morphism of schemes $f: X \to Y$ admits an étale-local section through any point $x \in X$.
One might wonder if this fact is true in the more general context of complex spaces (i.e. things g …
- 4,070