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.

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

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