复Poisson流形的外导子
The outer derivation of a complex Poisson manifold
摘要:
我们在Poisson流形上引入了一个标准外向量场,它也是独立于A的。温斯坦我们把它看作是泊松向量场层模哈密顿向量场子层的整体瓣。我们主要在全纯泊松流形的情况下研究这个外导子。
英文摘要:
We introduce a canonical outer vector field on a Poisson manifold, also due independently to A. Weinstein. We view it as a global section of the sheaf of Poisson vector fields modulo the subsheaf of hamiltonian vector fields. We study this outer derivation mostly in the case of holomorphic Poisson manifolds.
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