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Results tagged with ag.algebraic-geometry
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user 24415
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
1
answer
2k
views
connections between Grothendieck's and Serre's duality
Hi,
I would like to show that
if $f: X \rightarrow Y=Spec \, \mathbb{C}$, where $X$ is a nonsingular complex projective variety, is the projection to a point, then the complex $f^! \mathcal{O}_Y$, a …
- 73
2
votes
2
answers
494
views
Line bundles and rational singularities
Hi, I have some problem to understand the proof of lemma 3.2 of this article: http://www.ams.org/journals/jams/2001-14-03/S0894-0347-01-00368-X/.
The lemma states the following:
Let $X$ be a variety …
- 73
0
votes
0
answers
394
views
finite homological dimension
Hi, I found the following in the proof of a theorem:
$ Z \subset Y \times M$ where $M$ is a smooth projective variety over $\mathbb{C}$, $Y$ is a scheme and $Z$ is a subscheme of the product, flat ove …
- 73