Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10325593 | Journal of Symbolic Computation | 2005 | 16 Pages |
Abstract
Let I be the defining ideal of a smooth complete intersection space curve C with defining equations of degrees a and b. We use the partial elimination ideals introduced by Mark Green to show that the lexicographic generic initial ideal of I has Castelnuovo-Mumford regularity 1+ab(aâ1)(bâ1)/2 with the exception of the case a=b=2, where the regularity is 4. Note that ab(aâ1)(bâ1)/2 is exactly the number of singular points of a general projection of C to the plane. Additionally, we show that for any term ordering Ï, the generic initial ideal of a generic set of points in Pr is a Ï-segment ideal.
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Authors
Aldo Conca, Jessica Sidman,