Castelnuovo-Mumford regularity and extended degree

Details Castelnuovo-Mumford regularity and extended degree Castelnuovo-Mumford regularity and extended degree

2002-11-11

arxiv.org/abs/math/0211178v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

The main result of this paper shows that the Castelnuovo-Mumford regularity
of the tangent cone of a local ring is effectively bounded by the dimension and
any extended degree. From this it follows that there are only a finite number
of Hilbert-Samuel functions of local rings with given dimension and extended
degree.

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