Castelnuovo-Mumford regularity and extended degree

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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.
15 pages

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Commutative Algebra, Algebraic Geometry, 13A30, 13D40

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http://salesiana.dossiersoluciones.com/handle/123456789/65617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211178
 http://arxiv.org/abs/math/0211178

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arXiv