Castelnuovo-Mumford regularity and extended degree

By M. Rossi, Ngô Viêt Trung, G. Valla. 2002

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

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2dd75273841616a96373df0d0f16dec29efe8122