2001/02/28 by Huy Tài Hà, Ha Huy Tai, Tai, Ha Huy
Computer Science · Mathematics · #13D02 #14E25 #14J26 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #math.AC #math.AG #math.RA #msc:13D02 #msc:14E25 #msc:14J26
paper · pdf · doi:10.48550/arxiv.math/0102224
7 pages
openalex publication_date 2001/02/28 · arxiv created 2001/03/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we examine Green and Lazarsfeld's Np property for rational surfaces obtained by blowing up the projective plane P2 at a subscheme of fat points Z. We show that these surfaces, embedded into projective spaces by linear system of plane curves of degree t containing Z, possess property Np for all t >> 0. This gives a positive answer to a conjecture of Geramita and Gimigliano. Our bound for the values t is better than the conjectural value, which is σ(Z) + p.