All Questions
Tagged with analytic-geometry gaga
3
questions
5
votes
0
answers
316
views
GAGA for vector bundles over Riemann surfaces
Serre’s GAGA theorem gives an equivalence of categories between algebraic and analytic coherent sheaves over a complex projective variety. The proof relies on the finiteness of the cohomologies of ...
- 541
4
votes
0
answers
159
views
The notion of border for (complex and non-archimedean) analytic spaces and schemes
Is a manifold with corner an analytic space (just show that $\left[0, +\infty \right)^{n}$ is an analytic space, which seems obvious but maybe I'm wrong...) EDIT: as noted in the comments some complex ...
- 1,025
3
votes
0
answers
91
views
Decomposability and analytification of coherent sheaves
Let $X$ be an affine (algebraic) complex variety and $f:Y \to X$ be a finite morphism. Given any coherent sheaf $\mathcal{F}$ on $X$, we denote by $\mathcal{F}^{an}$ the analytification of $\mathcal{F}...
- 2,185