# Tag Info

## New answers tagged toric-varieties

1 vote

### Why are symplectic toric varieties projective?

Not a full answer, but a partial answer to your question 1a. Torus-invariant Kaehler metrics (in particular complex structures) were constructed by Guillemin, just starting with data on the moment ...
• 6,660
### Does there exist a point $x$ of an affine toric variety $U_{\sigma}$ such that $x$ is not compatibly split?
Actually, on an affine variety, if it is $F$-split, then it is compatibly $F$-split with every point (possibly changing the splitting). This is not true in the projective case (an ordinary projective ...