Non-existence of a curve over $\mathbb {F}_3$ of genus 5 with 14 rational points
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- by Kristin Lauter
- Proc. Amer. Math. Soc. 128 (2000), 369-374
- DOI: https://doi.org/10.1090/S0002-9939-99-05351-4
- Published electronically: July 6, 1999
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Abstract:
We show that an absolutely irreducible, smooth, projective curve of genus $5$ over $\mathbb {F}_3$ with $14$ rational points cannot exist.References
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Bibliographic Information
- Kristin Lauter
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- MR Author ID: 619019
- ORCID: 0000-0002-1320-696X
- Email: klauter@math.lsa.umich.edu
- Received by editor(s): April 6, 1998
- Published electronically: July 6, 1999
- Additional Notes: The author thanks René Schoof and Jean-Pierre Serre for their help and suggestions.
- Communicated by: David E. Rohrlich
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 369-374
- MSC (1991): Primary 11R58, 14G10
- DOI: https://doi.org/10.1090/S0002-9939-99-05351-4
- MathSciNet review: 1664414