Grobner bases, local cohomology and reduction number

Details Grobner bases, local cohomology and reduction number Grobner bases, local cohomology and reduction number

2002-10-04

arxiv.org/abs/math/0210079v1

Proc. Amer. Math. Soc. 129 (2001), no. 1, 9--18

Mathematics

Commutative Algebra

Scientific paper

D. Bayer and M. Stillman showed that Grobner bases can be used to compute the
Castelnuovo-Mumford regularity, which is a measure for the vanishing of graded
local cohomology modules. The aim of this paper is to show that the same method
can be applied to study other cohomological invariants as well as the reduction
number.

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