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arXiv:0706.4203 [math.AG]AbstractReferencesReviewsResources

Optimal curves of low genus over finite fields

Alexey Zaytsev

Published 2007-06-28, updated 2011-08-31Version 3

The Hasse-Weil-Serre bound is improved for curves of low genera over finite fields with discriminant in {-3,-4,-7,-8,-11,-19} by studying optimal curves.

Comments: a proof of the theorem 5.6 was corrected
Categories: math.AG, math.NT
Subjects: 14G45, 11G10, 14K15, 11D45
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