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Results tagged with ag.algebraic-geometry
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user 2579
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
1
answer
1k
views
Can the pushforward of a very ample invertible sheaf under a birational morphism be reflexive?
Let $f: Y \to X$ be a birational morphism of projective varieties. Let $\mathcal{M}$ be a very ample invertible sheaf on $Y$. Suppose also that:
$f^{-1}$ is defined away from a single point $x \ …
CommunityBot
- 1
12
votes
2
answers
2k
views
countable union of closed subschemes over uncountable field
I am looking for a reference for the following well-known fact:
Let $k$ be an uncountable field, and let $X$ be a $k$-variety. Let $Z_1, Z_2, \dots \subseteq X$ be proper closed subschemes. Then $\ …
- 11.1k