Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Arithmetically Buchsbaum divisors
on varieties of minimal degree


Author: Uwe Nagel
Journal: Trans. Amer. Math. Soc. 351 (1999), 4381-4409
MSC (1991): Primary 14M05; Secondary 13H10
Published electronically: April 20, 1999
MathSciNet review: 1615938
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we consider integral arithmetically Buchsbaum subschemes of projective space. First we show that arithmetical Buchsbaum varieties of sufficiently large degree have maximal Castelnuovo-Mumford regularity if and only if they are divisors on a variety of minimal degree. Second we determine all varieties of minimal degree and their divisor classes which contain an integral arithmetically Buchsbaum subscheme. Third we investigate these varieties. In particular, we compute their Hilbert function, cohomology modules and (often) their graded Betti numbers and obtain an existence result for smooth arithmetically Buchsbaum varieties.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 14M05, 13H10

Retrieve articles in all journals with MSC (1991): 14M05, 13H10


Additional Information

Uwe Nagel
Affiliation: Fachbereich Mathematik und Informatik, Universität-Gesamthochschule Paderborn, D–33095 Paderborn, Germany
Email: uwen@uni-paderborn.de

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02357-0
PII: S 0002-9947(99)02357-0
Keywords: Minimal generator, local cohomology, Castelnuovo-Mumford regularity, arithmetically Buchsbaum scheme, rational normal scroll
Received by editor(s): August 27, 1997
Published electronically: April 20, 1999
Additional Notes: The material of this paper is part of the author’s Habilitationsschrift \cite{hab}.
Article copyright: © Copyright 1999 American Mathematical Society