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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 …
Lars Kastner's user avatar
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. …
Lars Kastner's user avatar
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 …
Lars Kastner's user avatar