Deformations of compact holomorphic Poisson manifolds and algebraic Poisson schemes

Abstract

In this thesis, we study deformations of compact holomorphic Poisson manifolds and algebraic Poisson schemes in the framework of Kodaira-Spencer's analytic deformation theory and Grothendieck's algebraic deformation theory.

arXiv commentPh.D. thesis. Department of Mathematics, University of California, Riverside, 2014. Comments are welcome

References in corpus (2)

• Deformation theory and Lie algebra homology
• Canonical Infinitesimal Deformations

Cited by in corpus (4)

• Poisson Cohomology of holomorphic toric Poisson manifolds. I
• On the T-leaves of some Poisson structures related to products of flag varieties
• A local Torelli theorem for log symplectic manifolds
• Theorem of existence and completeness for holomorphic Poisson structures