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A characterization of diagonal Poisson structures

2014; Wiley; Volume: 46; Issue: 6 Linguagem: Inglês

10.1112/blms/bdu074

ISSN

1469-2120

Autores

Renan Lima, Jorge Vitório Pereira,

Tópico(s)

Advanced Algebra and Geometry

Resumo

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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