Gröbner bases, local cohomology and reduction number

Author:
Ngô Viêt Trung

Journal:
Proc. Amer. Math. Soc. **129** (2001), 9-18

MSC (1991):
Primary 13P10; Secondary 13D45

DOI:
https://doi.org/10.1090/S0002-9939-00-05503-9

Published electronically:
June 21, 2000

MathSciNet review:
1695103

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Abstract | References | Similar Articles | Additional Information

Abstract: D. Bayer and M. Stillman showed that Gröbner bases can be used to compute the Castelnuovo-Mumford regularity which is a measure for the vanishing of graded local cohomology modules. The aim of this paper is to show that the same method can be applied to study other cohomological invariants as well as the reduction number.

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Additional Information

**Ngô Viêt Trung**

Affiliation:
Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam

Email:
nvtrung@hn.vnn.vn

DOI:
https://doi.org/10.1090/S0002-9939-00-05503-9

Keywords:
Local cohomology,
initial ideal,
Borel-fixed ideal,
reduction number

Received by editor(s):
December 9, 1998

Received by editor(s) in revised form:
March 11, 1999

Published electronically:
June 21, 2000

Additional Notes:
The author is partially supported by the National Basic Research Program

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 2000
American Mathematical Society