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On the indices of curves over local fields

✍ Scribed by Pete L. Clark


Publisher
Springer
Year
2007
Tongue
English
Weight
173 KB
Volume
124
Category
Article
ISSN
0025-2611

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Counting Points on Curves over Finite Fi
✍ Ming-Deh Huang; Doug Ierardi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 602 KB

We consider the problem of counting the number of points on a plane curve, defined by a homogeneous polynomial F (x, y, z) ∈ Fq[x, y, z], which are rational over a ground field Fq. More precisely, we show that if we are given a projective plane curve C of degree n, and if C has only ordinary multipl