Header

UZH-Logo

Maintenance Infos

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.

Statistics

Citations

6 citations in Web of Science®
3 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

42 downloads since deposited on 01 Jun 2010
6 downloads since 12 months
Detailed statistics

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:11 Dec 2016 06:01
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

Download

Preview Icon on Download
Preview
Filetype: PDF
Size: 2MB
View at publisher

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations