Castelnuovo-Mumford regularity and extended degree
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0211178,
title = {Castelnuovo-Mumford regularity and extended degree},
author = {Maria Evelina Rossi and Ngo Viet Trung and Giuseppe Valla},
journal= {arXiv preprint arXiv:math/0211178},
year = {2007}
}
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15 pages