Computing the Castelnuovo–Mumford regularity of some subschemes of PKn using quotients of monomial ideals

✍ Scribed by Isabel Bermejo; Philippe Gimenez

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 127 KB
• Volume: 164
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(00)00143-2

✦ Synopsis

Given a homogeneous ideal I ⊂ K[x0; : : : ; xn] deÿning a subscheme X of projective n-space P n K , we provide an e ective method to compute the Castelnuovo-Mumford regularity of X in the following two cases: when X is arithmetically Cohen-Macaulay, and when X is a not necessarily reduced projective curve. In both cases, we compute the Castelnuovo-Mumford regularity of X by means of quotients of zero-dimensional monomial ideals.