Points in projective spaces and applications

2005/11/23 by Ivan Cheltsov, Cheltsov, Ivan
Mathematics · #13F15 #14B05 #14J30 #14J70 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0511578

openalex publication_date 2005/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the factoriality of a nodal hypersurface in ℙ⁴ of degree d that has at most 2(d-1)²/3 singular points, and factoriality of a double cover of ℙ³ branched over a nodal surface of degree 2r having less than (2r-1)r singular points.

Related

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