CASTELNOUVO-MUMFORD REGULARITY OF GRADED MODULES HAVING A LINEAR FREE PRESENTATION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
-
2009.12777 - 787 (11 pages)
- 0
In this paper we investigate the upper bound on the Castelnuovo-Mumford regularity of a graded module with linear free presentation. Let M be a finitely generated graded module over a polynomial ring R with zero dimensional support. We prove that if M is generated by elements of degree d 0 with a linear free presentation Mp R(−d − 1) ! Mq R(−d) ! M ! 0, then the Castelnuovo-Mumford regularity of M is at most d+q−1. As an important application, we can prove vector bundle technique, which was used in [11], [13], [17] as a tool for obtaining several remarkable results.
1. Introduction
2. Preliminaries
3. Regularity of the annihilator of a graded module
4. Regularity of a graded module with linear free presenta-tion
References
(0)
(0)