English

Deformations of holomorphic Poisson maps

Algebraic Geometry 2015-12-31 v1 Differential Geometry

Abstract

In this paper, we study deformations of holomorphic Poisson maps which extend Horikawa's series of papers on deformations of holomorphic maps in the context of holomorphic Poisson deformations. In appendices, we present deformations of Poisson morphisms in the language of functors of Artin rings which is the algebraic version of deformations of holomorphic Poisson maps. We identity first-order deformations and obstructions.

Keywords

Cite

@article{arxiv.1512.09088,
  title  = {Deformations of holomorphic Poisson maps},
  author = {Chunghoon Kim},
  journal= {arXiv preprint arXiv:1512.09088},
  year   = {2015}
}
R2 v1 2026-06-22T12:20:25.391Z