# On Deformations of Nodal Hypersurfaces

## TL;DR

This paper extends the infinitesimal Torelli theorem, originally for smooth hypersurfaces, to include nodal hypersurfaces, broadening the understanding of their deformation theory.

## Contribution

It introduces a generalization of the infinitesimal Torelli theorem to nodal hypersurfaces, which were not covered by previous results.

## Key findings

- Infinitesimal Torelli theorem holds for certain classes of nodal hypersurfaces.
- Extension of deformation theory to singular hypersurfaces.
- New techniques for analyzing nodal hypersurface deformations.

## Abstract

We extend the infinitesimal Torelli theorem for smooth hypersurfaces to nodal hypersurfaces.