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- W1801313968 abstract "Our main result shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A> <mml:semantics> <mml:mi>A</mml:mi> <mml:annotation encoding=application/x-tex>A</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is effectively bounded by the dimension and any extended degree of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper A> <mml:semantics> <mml:mi>A</mml:mi> <mml:annotation encoding=application/x-tex>A</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. From this it follows that there are only a finite number of Hilbert-Samuel functions of local rings with given dimension and extended degree." @default.
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- W1801313968 date "2003-01-13" @default.
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- W1801313968 title "Castelnuovo-Mumford regularity and extended degree" @default.
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