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Toric variety is embedding of algebraic tori.

14 votes
0 answers
469 views

How should we think about the algebraic moment map?

My question is about the "algebraic moment map", as discussed by Frank Sottile in the final section of this paper, or by Bill Fulton in his Introduction to Toric Varieties, where he referes to it as t …
Hugh Thomas's user avatar
  • 6,327
4 votes
3 answers
365 views

A question related to the strong Oda conjecture

A fan is a collection of strongly convex rational polyhedral cones in $\mathbb Z^n$, which we often think of as contained in $\mathbb Q^n$ or $\mathbb R^n$ for purposes of visualizing it. The defining …
Hugh Thomas's user avatar
  • 6,327
4 votes

A question related to the strong Oda conjecture

I realized, after asking the question, that if the original question was known to have an affirmative answer, then that would imply the strong Oda conjecture. Since the strong Oda conjecture isn't kno …
Hugh Thomas's user avatar
  • 6,327
5 votes
Accepted

Approximation of convex bodies by polytopes corresponding to smooth toric varieties

Yes. Let $\Sigma$ be the fan corresponding to $P$. Section 2.6 of Fulton's "Introduction to Toric Varieties" explains how to perform toric resolution of singularities on $\Sigma$ so as to produce a fa …
Hugh Thomas's user avatar
  • 6,327