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)

 

Sharp bounds on
Castelnuovo-Mumford regularity


Author: Chikashi Miyazaki
Journal: Trans. Amer. Math. Soc. 352 (2000), 1675-1686
MSC (1991): Primary 14B15; Secondary 13D45, 13H10, 14M05
Published electronically: October 21, 1999
MathSciNet review: 1621769
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic measures such as dimension, codimension and degree. In this paper we consider an upper bound on the regularity $\operatorname{reg}(X)$ of a nondegenerate projective variety $X$, $\operatorname{reg}(X)\le\lceil(\deg (X) - 1)/\operatorname{codim}(X)\rceil +k \cdot \dim (X)$, provided $X$ is $k$-Buchsbaum for $k \ge 1$, and investigate the projective variety with its Castelnuovo-Mumford regularity having such an upper bound.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 14B15, 13D45, 13H10, 14M05

Retrieve articles in all journals with MSC (1991): 14B15, 13D45, 13H10, 14M05


Additional Information

Chikashi Miyazaki
Affiliation: Department of Mathematical Sciences, University of the Ryukyus, Nishihara-cho, Okinawa 903-0213, Japan
Email: miyazaki@math.u-ryukyu.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02380-6
PII: S 0002-9947(99)02380-6
Received by editor(s): July 15, 1997
Received by editor(s) in revised form: February 28, 1998
Published electronically: October 21, 1999
Additional Notes: Partially supported by Grant-in-Aid for Scientific Research (no. 09740042), Ministry of Education, Science, Sports and Culture, Japan
Article copyright: © Copyright 2000 American Mathematical Society