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Brodmann, Markus; Schenzel, Peter (2003). On projective curves of maximal regularity. Mathematische Zeitschrift, 244(2):271-289.
Let C ⊆ P$^{r}_{K}$ be a non-degenerate projective curve of degree d > r + 1 of maximal regularity so that C has an extremal secant line L. We show that C ∪ L is arithmetically Cohen Macaulay if d < 2r − 1 and we study the Betti numbers and the Hartshorne-Rao module of the curve C.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | Betti numbers, Hartshorne-Rao module |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 27 May 2010 13:00 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | Springer |
| ISSN: | 0025-5874 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00209-003-0496-0 |
Brodmann, Markus