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Non-existence of a curve over $\mathbb F_3$ of genus 5 with 14 rational points

Author(s): Kristin Lauter
Journal: Proc. Amer. Math. Soc. 128 (2000), 369-374.
MSC (1991): Primary 11R58, 14G10
Posted: 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.

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Additional Information:

Kristin Lauter
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email: klauter@math.lsa.umich.edu

DOI: 10.1090/S0002-9939-99-05351-4
PII: S 0002-9939(99)05351-4
Received by editor(s): April 6, 1998
Posted: 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 of article: Copyright 1999, American Mathematical Society

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