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The Hilbert functions of ACM sets of points in Pn1×⋯×Pnk

✍ Scribed by Adam Van Tuyl


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
223 KB
Volume
264
Category
Article
ISSN
0021-8693

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On the number of rational points on codi
✍ Anders Bjært Sørensen 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 644 KB

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