The border of the Hilbert function of a set of points in Pn1×⋯×Pnk
✍ Scribed by Adam Van Tuyl
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 256 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0022-4049
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An upper bound on the number of F,-rational points on a pure (n -l)-dimensional algebraic set of low degree defined over F, in P(F,) is given, using simple counting arguments, and the result is generalized to all degrees using results from coding theory. The bound depends on n, q, d, where d is the
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