Lifting the k-Buchsbaum property

Authors
Citation
U. Nagel, Lifting the k-Buchsbaum property, J PURE APPL, 152(1-3), 2000, pp. 267-273
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
152
Issue
1-3
Year of publication
2000
Pages
267 - 273
Database
ISI
SICI code
0022-4049(20000915)152:1-3<267:LTKP>2.0.ZU;2-B
Abstract
We compare the cohomological annihilators of a projective subscheme and its general hypersurface section. We show that we can conclude from the k-Buch sbaumness of the hypersurface section to that of the original scheme if the hypersurface has degree at least k + 1. We describe examples which show th at this result is best possible. (C) 2000 Elsevier Science B.V. All rights reserved.