Ciliberto-Di Gennaro conjecture for sextic hypersurfaces

2025/05/10 by Ksenia Kvitko, Kvitko, Ksenia
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2505.06742

openalex publication_date 2025/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Factorial threefold hypersurfaces
• Q-factorial quartic threefolds
• Non-rational nodal quartic threefolds
• Hyman Bass and Ubiquity: Gorenstein Rings

Related

• Genus three curves and 56 nodal sextic surfaces
• Dessins d'Enfants and Hypersurfaces with Many A_j-Singularities
• On nodal sextic fivefold
• On factoriality of nodal threefolds
• Good reduction of Fano threefolds and sextic surfaces