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The number of points on a singular curve over a finite field

✍ Scribed by David B. Leep; Charles C. Yeomans


Publisher
Springer
Year
1994
Tongue
English
Weight
370 KB
Volume
63
Category
Article
ISSN
0003-889X

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Some remarks on the Picard curves over a
✍ Yoh Takizawa πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 127 KB πŸ‘ 1 views

## Abstract In this paper we study the Newton polygon of the __L__ ‐polynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ – 1, __y__^3^ = __x__^4^ – __x__ defined over a finite field 𝔽~__p__~ . In the former case we get a complete classification. In the latter case we obtai