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Results tagged with ag.algebraic-geometry
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user 13215
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
8
votes
1
answer
892
views
Infinite Grassmannians and their coordinate rings
I'm currently thinking about some combinatorics associated to an infinite analogue of the coordinate rings of the Grassmannians $Gr(2,n)$. The combinatorics should be thought of as relating to Plucke …
- 2,218
5
votes
Accepted
What are the cluster algebra structures on $Gr(3,5)$?
The canonical source for the cluster structure on (all) Grassmannians is the aptly-titled
Joshua S. Scott, MR 2205721 Grassmannians and cluster algebras, Proc. London Math. Soc. (3) 92 (2006), no. 2, …
- 2,218
4
votes
Grassmannian $\mathrm{Gr}(k, \pm \infty)$ in infinite dimension
You should have a look at the Appendix to this paper of mine:
https://arxiv.org/abs/1212.3528
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/jdt064
- 2,218
31
votes
1
answer
1k
views
Which properties of a variety are detected by its derived category of coherent sheaves?
Context: I'm giving an informal seminar/reading group collection of talks on derived categories, following on from earlier talks giving the abstract definition. I am starting to talk about $\mathcal{ …
10
votes
Accepted
What do cluster algebras tell us about Grassmannians?
I'm afraid that as far as I know, the answer is no. That is, the cluster structure hasn't (yet) told us anything new. There are two reasons why we might have expected that, though.
Firstly, the G …
- 2,218