Castelnuovo-Mumford regularity and the reduction number of some monomial curves
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- by Michael Hellus, Lê Tuân Hoa and Jürgen Stückrad PDF
- Proc. Amer. Math. Soc. 138 (2010), 27-35 Request permission
Abstract:
We compare the Castelnuovo-Mumford regularity and the reduction number of some classes of monomial projective curves with at most one singular point. Furthermore, for smooth monomial curves we prove an upper bound on the regularity which is stronger than the one given by L’vovsky.References
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Additional Information
- Michael Hellus
- Affiliation: Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany
- MR Author ID: 674206
- Email: Michael.Hellus@math.uni-leipzig.de
- Lê Tuân Hoa
- Affiliation: Institute of Mathematics Hanoi, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam
- Email: lthoa@math.ac.vn
- Jürgen Stückrad
- Affiliation: Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10/11, D-04109 Leipzig, Germany
- Email: stueckrad@math.uni-leipzig.de
- Received by editor(s): October 5, 2007
- Received by editor(s) in revised form: September 4, 2008, and April 2, 2009
- Published electronically: August 13, 2009
- Additional Notes: The second author was supported by the NAFOSTED (Vietnam) and Max-Planck Institute for Mathematics in the Sciences (Germany). He would like to thank the MIS for their financial support and hospitality.
- Communicated by: Bernd Ulrich
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 27-35
- MSC (2000): Primary 13A30, 13D45
- DOI: https://doi.org/10.1090/S0002-9939-09-10055-2
- MathSciNet review: 2550167