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The number of rational points on hyperelliptic supersingular curves of genus 4 in characteristic 2

✍ Scribed by Gary McGuire; Alexey Zaytsev

Book ID
118445969
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
144 KB
Volume
18
Category
Article
ISSN
1071-5797

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πŸ“œ SIMILAR VOLUMES

Uniform bounds on the number of rational
Uniform bounds on the number of rational points of a family of curves of genus 2
✍ L. Kulesz; G. Matera; E. Schost πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 357 KB

We exhibit a genus-2 curve C defined over QðTÞ which admits two independent morphisms to a rank-1 elliptic curve defined over QðTÞ: We describe completely the set of QðTÞ-rational points of the curve C and obtain a uniform bound on the number of Q-rational points of a rational specialization C t of