Brodmann, M; Vogel, W (1993). Bounds for the cohomology and the Castelnuovo regularity of certain surfaces. Nagoya Mathematical Journal, 131:109-126.
We bound the cohomology and the Castelnuovo-Mumford regularity of normal projective surfaces with smooth rational generic hyperplane section in terms of their embedding dimension, their degree and their Buchsbaum order. In particular we show that for arbitrary 2-Buchsbaum surfaces a question of D. Eisenbud about Castelnuovo-Mumford regularity has a positive answer.
We bound the cohomology and the Castelnuovo-Mumford regularity of normal projective surfaces with smooth rational generic hyperplane section in terms of their embedding dimension, their degree and their Buchsbaum order. In particular we show that for arbitrary 2-Buchsbaum surfaces a question of D. Eisenbud about Castelnuovo-Mumford regularity has a positive answer.
| 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: | Buchsbaum surfaces, cohomology, Castelnuovo-Mumford regularity, normal projective surfaces |
| Language: | English |
| Date: | 1993 |
| Deposited On: | 01 Jun 2010 11:55 |
| Last Modified: | 26 Jun 2022 22:45 |
| Publisher: | Nagoya Daigaku |
| ISSN: | 0027-7630 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1017/S0027763000004566 |
| Official URL: | http://www.math.nagoya-u.ac.jp/en/journal/ |
| Related URLs: | http://projecteuclid.org/euclid.nmj/1118779666 http://www.ams.org/mathscinet-getitem?mr=1238635 http://www.zentralblatt-math.org/zmath/en/search/?q=an:0779.14016 |
Brodmann, M