Poisson Cohomology of Del Pezzo surfaces
Wei Hong, Ping Xu
TL;DR
This paper computes the Poisson cohomology groups for all Poisson Del Pezzo surfaces, providing a comprehensive understanding of their geometric and algebraic properties.
Contribution
It offers the first complete calculation of Poisson cohomology for Poisson Del Pezzo surfaces, filling a gap in the literature.
Findings
Explicit Poisson cohomology groups for all Poisson Del Pezzo surfaces
Identification of invariants related to Poisson structures
Foundation for future studies in Poisson geometry of algebraic surfaces
Abstract
In this note, we compute the Poisson cohomology groups for any Poisson Del Pezzo surface.
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