Kunz, E. and Waldi, R. (2013) ON THE REGULARITY OF CONFIGURATIONS OF F-q-RATIONAL POINTS IN PROJECTIVE SPACE. JOURNAL OF COMMUTATIVE ALGEBRA, 5 (2). pp. 269-280. ISSN 1939-0807,
Full text not available from this repository. (Request a copy)Abstract
We are interested in the smallest number s = s(n, q) such that, for any given n distinct F-q-rational points P-1, . . . , P-n is an element of Pn-1, there exists a hypersurface H of degree s and defined over F-q such that P-1, . . . , Pn-1 is an element of H, P-n is not an element of H. Alternately, s(n, q) is the maximal Castelnuovo-Mumford regularity of a set of n F-q-rational points in some projective space. Finally, s(n, q) is the index of stability of certain one-dimensional local Cohen-Macaulay rings.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Castelnuovo-Mumford regularity; rational points in projective spaces over finite fields; Hilbert function; index of stability |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Rolf Waldi |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Apr 2020 13:39 |
| Last Modified: | 07 Apr 2020 13:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16532 |
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