Ciliberto-Di Gennaro conjecture for sextic hypersurfaces

TL;DR

This paper proves the Ciliberto-Di Gennaro conjecture for degree 6 hypersurfaces, establishing their factoriality and geometric properties using advanced techniques.

Contribution

It provides the first proof of the conjecture for sextic hypersurfaces by adapting a recent method by R. Kloosterman.

Findings

Confirmed factoriality of degree 6 nodal hypersurfaces

Extended geometric understanding of sextic hypersurfaces

Applied novel technique to a longstanding conjecture

Abstract

The Ciliberto-Di Gennaro conjecture addresses the factoriality of three-dimensional nodal hypersurfaces, and their geometric properties. We prove this conjecture for hypersurfaces of degree 6 by adapting a recent technique due to R. Kloosterman.