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Toric variety is embedding of algebraic tori.
3
votes
0
answers
180
views
(Implemented) algorithm for Hodge numbers
Let $X$ be a smooth projective toric variety. Do any of the math computer algebra systems have an algorithm implemented to compute the Hodge numbers of a generic complete intersection in $X$? Say in t …
4
votes
0
answers
221
views
When is a toric variety a Poincare duality space?
When is a complete toric variety a Poincare duality space? Is there an "if and only if" condition? And is this condition local? Given an analytically-locally-toric compactification of a smooth variet …
3
votes
Existence of a morphism between two toric varieties
I don't think this is possible. Let $F_1$ and $F_2$ be two disjoint fibers of the projection $\mathbb{P}^1\times\mathbb{P}^1\rightarrow \mathbb{P}^1$. Suppose that there were a surjective morphism $$m …