Castelnuovo-Mumford regularity and extended degree
classification
🧮 math.AC
math.AG
keywords
degreeextendedcastelnuovo-mumforddimensionlocalregularityboundedcone
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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.
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