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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
Examples of toric threefolds
This is rather a comment/question than an answer, but I am not allowed to comment, yet:
I just know the following for a lattice polytope $\Delta$: $\mathbb P_{\Delta}$ is smooth if and only if $\Delt …
2
votes
global sections of structure sheaf on the toric Calabi-Yau
Probably this answer comes too late, but anyway:
What you want to do can be divided into two tasks:
Find a Hilbert basis of (the dual of) your cone.
Compute the toric ideal for the Hilbert basis.
…
2
votes
Existence of a morphism between two toric varieties
This is just a small fanny addition to Allen Knutson's polytopal answer:
If you find a (toric) map to $(\mathbb{P}^1)^2$, you automatically get two possible (toric) maps from $\widetilde{\mathbb{P}^3 …