Principal Borel ideals and Gotzmann ideals
β Scribed by V. Bonanzinga
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 176 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
an S-regular sequence y , . . . , y . Results of Tate and Gulliksen provide 1 i another important example: the minimal resolution of k over SrQ, for any homogeneous ideal Q in S. In both cases the resolution is a free commu-\* The author is grateful for support by the Alfred P. Sloan Foundation.
The aim of this paper is to study the relationship between the reduction number and Borel-fixed ideals in all characteristics. Especially it is shown that r(R/I ) r(R/I lex ), where I lex denotes the unique lex-segment ideal whose Hilbert function is equal to that of I . This solves a recent questio