Factorial threefold hypersurfaces

2008/03/23 by Ivan Cheltsov, Cheltsov, Ivan · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0803.3301

Abstract

Let X be a hypersurface in ℙ⁴ of degree d that has at most isolated ordinary double points. We prove that X is factorial in the case when X has at most (d-1)²-1 singular points.

Cited by

• Defect of projective hypersurfaces with isolated singularities
• Factoriality of normal projective varieties
• Factoriality and birational rigidity of two families of singular quartic three-folds
• Q-factoriality and Hodge-Du Bois theory

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