Factoriality of complete intersection threefolds

2008/08/29 by Dimitra Kosta, Kosta, Dimitra
Computer Science · Mathematics · #14J17 #14J30 #14M05 #14M10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0808.4071

openalex publication_date 2008/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a complete intersection of two hypersurfaces F_n and F_k in the projective space P⁵ of degree n and k respectively with n >= k, such that the singularities of X are nodal and F_k is smooth. We prove that if the threefold X has at most (n+k-2)(n-1)-1 singular points, then it is factorial.

Citations

• Factorial threefold hypersurfaces
• Factorial hypersurfaces in P⁴ with nodes

Related

• Factorial threefolds and Shokurov vanishing
• Points in projective spaces and applications
• Factorial threefold hypersurfaces
• On factoriality of nodal threefolds
• Factorial hypersurfaces in P⁴ with nodes