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Bounds for the cohomology and the Castelnuovo regularity of certain surfaces


Brodmann, M; Vogel, W (1993). Bounds for the cohomology and the Castelnuovo regularity of certain surfaces. Nagoya Mathematical Journal, 131:109-126.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 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:06 Dec 2017 21:08
Publisher:Nagoya Daigaku
ISSN:0027-7630
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

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