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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

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✦ 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.


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