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S Jan 29, 2014 at 19:26 history suggested F. C.
added the tag toric variety
Jan 29, 2014 at 19:25 review Suggested edits
S Jan 29, 2014 at 19:26
Jan 29, 2014 at 18:28 answer added user46176 timeline score: 3
Jan 29, 2014 at 15:44 comment added Italo @Robert: If i consider the action of the compact subgroup $K$ is $\omega$ K-invariant? Are there obstructions?
Jan 29, 2014 at 15:35 comment added Robert Bryant Your notation is causing some confusion because you are confusing the algebraic torus with the compact subgroup $K$ generated by the $S^1$-subgroups of the $\mathbb{C}^\ast$-factors, and $K$ is a topological torus. Generally, one asks that the toric metric be invariant under $K$, not the whole (noncompact) algebraic torus, which is much more reasonable.
Jan 29, 2014 at 14:33 comment added Henri Well, the Fubini-Study metric on $\mathbb P^1$ is already not invariant under the torus action.
Jan 29, 2014 at 13:15 history asked Italo CC BY-SA 3.0