A characterization of diagonal Poisson structures
Symplectic Geometry
2017-05-04 v2 Algebraic Geometry
Abstract
The degeneracy locus of a generically symplectic Poisson structure on a Fano manifold is always a singular hypersurface. We prove that there exists just one family of generically symplectic Poisson structures in Fano manifold with cyclic Picard group having a reduced simple normal crossing degeneracy locus.
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Cite
@article{arxiv.1312.3596,
title = {A characterization of diagonal Poisson structures},
author = {Renan Lima and Jorge Vitorio Pereira},
journal= {arXiv preprint arXiv:1312.3596},
year = {2017}
}
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16 pages