## Gröbner bases, local cohomology and reduction number

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**129**(2001), 9-18 Request permission

## 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.## References

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## Additional Information

**Ngô Viêt Trung**- Affiliation: Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam
- MR Author ID: 207806
- Email: nvtrung@hn.vnn.vn
- 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
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1695103