Improvements of the Weil bound for Artin–Schreier curves
✍ Scribed by Antonio Rojas-León; Daqing Wan
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 326 KB
- Volume
- 351
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
We determine the number of F q -rational points of a class of Artin-Schreier curves by using recent results concerning evaluations of some exponential sums. In particular, we determine infinitely many new examples of maximal and minimal plane curves in the context of the Hasse-Weil bound. # 2002 Els
## Abstract We compute the following upper bounds for the maximal arithmetic genus __P~a~(d,t__) over all locally Cohen ‐ Macaulay space curves of degree __d__, which are not contained in a surface of degree magnified image These bounds are sharp for t ≤ 4 abd any d ≥ t.