论文标题

复曲泊泊松结构的非耗尽性

Non-exactness of toric Poisson structures

论文作者

Torres, David Martínez, Silva, Marcelo

论文摘要

我们证明,在射岩紫色的变化的泊松结构中,它因圆环动作不变,其符号叶子是圆环轨道并不精确。这是从具有有限数量的齐剪叶子的泊松结构的几何标准中推论出来的。

We prove that a Poisson structure on a projective toric variety which is invariant by the torus action and whose symplectic leaves are the torus orbits is not exact. This is deduced from a geometric criterion for non-exactness of Poisson structures with a finite number of symplectic leaves.

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