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On the hyperplane sections of certain codimension 2 subvarieties in ℙn

✍ Scribed by Mei-Chu Chang


Publisher
Springer
Year
1992
Tongue
English
Weight
204 KB
Volume
58
Category
Article
ISSN
0003-889X

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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