vix.ing · top · new · best · stats · spec

The Kodaira-Spencer map for minimal toric hypersurfaces

2022/03/02 by Julius Giesler, Giesler, Julius
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2203.01092

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.

Related