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
β¦ LIBER β¦
0-Borel Fixed Ideals
β Scribed by Irena Peeva
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 386 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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