Postulation of disjoint unions of lines and a multiple point, II

2014/05/01 by E. Ballico, Ballico, E.
Mathematics · #14H99 #14N05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H99 #msc:14N05

paper · pdf · doi:10.48550/arxiv.1405.0121

arxiv created 2014/05/01 · arxiv updated 2014/05/02

Abstract

We study the postulation of a general union X⊂ \mathbb P³ of one m-point mP and t disjoint lines. We prove that it has the expected Hilbert function, proving a conjecture by E. Carlini, M. V. Catalisano and A. V. Geramita.

Related

• The Hilbert function of general unions of lines and double lines in the projective space
• Reduced and non-reduced linear spaces: Lines and points
• On the postulation of lines and a fat line
• Postulation of generic lines and one double line in \PPⁿ in view of generic lines and one multiple linear space
• On the Hartshorne-Hirschowitz theorem