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- W3037980358 abstract "A resolution $Z to X$ of a Poisson variety $X$ is called {em Poisson} if every Poisson structure on $X$ lifts to a Poisson structure on $Z$. For symplectic varieties, we prove that Poisson resolutions coincide with symplectic resolutions. It is shown that for a Poisson surface $S$, the natural resolution $S^{[n]} to S^{(n)}$ is a Poisson resolution. Furthermore, if $Bs|-K_S| = emptyset$, we prove that this is the unique projective Poisson resolution for $S^{(n)}$." @default.
- W3037980358 created "2020-07-02" @default.
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- W3037980358 date "2004-03-24" @default.
- W3037980358 modified "2023-10-17" @default.
- W3037980358 title "Poisson resolutions" @default.
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