English

The Kodaira-Spencer map for minimal toric hypersurfaces

Algebraic Geometry 2023-11-21 v4

Abstract

In this article we study infinitesimal deformations of toric hypersurfaces. We introduce a Kodaira-Spencer map and compute its kernel. By introducing some new Laurent polynomials we make our computation as explicit as possible. This widely generalizes results of Griffiths for projective hypersurfaces.

Keywords

Cite

@article{arxiv.2203.01092,
  title  = {The Kodaira-Spencer map for minimal toric hypersurfaces},
  author = {Julius Giesler},
  journal= {arXiv preprint arXiv:2203.01092},
  year   = {2023}
}