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Maximal and Cohen–Macaulay projective monomial curves
- Source :
-
Journal of Algebra . Jan2007, Vol. 307 Issue 1, p409-423. 15p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we continue the investigation of Cohen–Macaulay projective monomial curves begun in [Les Reid, Leslie G. Roberts, Non-Cohen–Macaulay projective monomial curves, J. Algebra 291 (2005) 171–186]. In the process we introduce maximal curves. Cohen–Macaulay curves are maximal, but not conversely. We show that the number of all curves of degree d that are Cohen–Macaulay grows exponentially, but not as fast as the total number of curves, and also that maximal curves of degree d with sufficiently large embedding dimension relative to d are Cohen–Macaulay. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*ALGEBRA
*MATHEMATICAL analysis
*LINEAR algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 307
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 23047217
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.04.014