Elsevier

Journal of Algebra

Volume 303, Issue 2, 15 September 2006, Pages 592-617
Journal of Algebra

Saturation and Castelnuovo–Mumford regularity

https://doi.org/10.1016/j.jalgebra.2005.05.020Get rights and content
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Abstract

Let I be a homogeneous ideal of the polynomial ring K[x0,,xn], where K is an arbitrary field. Avoiding the construction of a minimal graded free resolution of I, we provide effective methods for computing the Castelnuovo–Mumford regularity of I that also compute other cohomological invariants of K[x0,,xn]/I.

Keywords

Castelnuovo–Mumford regularity
Satiety
Depth
Reverse lexicographic order
Local cohomology
Specialization theory

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