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Results tagged with toric-varieties
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user 5495
Toric variety is embedding of algebraic tori.
6
votes
Accepted
Proving that a variety is not (isomorphic to) a toric variety
The question of algorithmically deciding if an ideal is binomial after a (suitable, e.g. linear) automorphism of affine space is decidable and various algorithms are discussed in "When is a polynomial …
- 1,961
11
votes
1
answer
867
views
Proving that a variety is not (isomorphic to) a toric variety
Is there an algorithmic (or other) way to prove that a (projective)
variety is not isomorphic to a toric variety?
I'd be happy with an algebraic answer (for affine or projective varieties),
using the …
- 1,961
0
votes
Do subsets of generators of a toric ideal generate a toric ideal?
What is going on can be explained completely in terms of exponent vectors. To do so we can map each generator $x^u -x^v$ of $J$ to the exponent vector $u-v \in \mathbb{Z}^n$. Conversely, for each inte …
- 1,961
3
votes
Accepted
Recommendations for binomial system solver
Let $I$ be the ideal generated by your binomial equations after clearing denominators.
As a general rule with binomial equations, disregard coefficients in the first run (see here for why and how: ht …
- 1,961