Castelnuovo-Mumford regularity and reduction number of smooth monomial curves in ℙ⁵

Nitsche, Max

doi:10.1090/S0002-9939-2012-10934-7

Castelnuovo-Mumford regularity and reduction number of smooth monomial curves in $\mathbb {P}^5$
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by Max Joachim Nitsche PDF

Proc. Amer. Math. Soc. 140 (2012), 2937-2944 Request permission

Abstract:

We will compute explicitly the Castelnuovo-Mumford regularity and the reduction number of coordinate rings of smooth projective monomial curves in $\mathbb P^5$. Moreover we will show that these numbers are equal.

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