arXiv subjects

Renan Lima

Publications and source records attributed to Renan Lima.

2 recordsLinked to original sources

arXiv2023

An Example of Rank 2 Poisson Structure which is Stable Under Deformations

Let $Π$ be a rank $2$ Poisson Structure in the Projective Space defined by the dimension $2$ foliation $\mathcal{F}$ in the pull-back component. We prove that for a generic choice of $\mathcal{F}$, the irreducible component of the Poisson structures containing $Π$ and the irreducible component of Foliations containing $\mathcal{F}$ coincides.

math.SG↗

arXiv2014

A characterization of diagonal Poisson structures

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.

math.SG↗