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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)



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

Author: Max Joachim Nitsche
Journal: Proc. Amer. Math. Soc. 140 (2012), 2937-2944
MSC (2010): Primary 13D45
Published electronically: April 11, 2012
MathSciNet review: 2917067
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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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Max Joachim Nitsche
Affiliation: Max-Planck-Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany

Received by editor(s): May 25, 2010
Published electronically: April 11, 2012
Communicated by: Irena Peeva
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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