CASTELNOUVO-MUMFORD REGULARITY OF GRADED MODULES HAVING A LINEAR FREE PRESENTATION

• 발행기관: 충청수학회
• 저자명: Jea man Ahn
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 777~787쪽, 전체 11쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

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.

목차

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