Point counting on curves using a gonality preserving lift

DOI10.1093/qmath/hax031zbMath1442.14096arXiv1605.02162OpenAlexW2963700619MaRDI QIDQ4684195

Jan Tuitman, Wouter Castryck

Publication date: 27 September 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02162

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Computational aspects of algebraic curves (14Q05) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (4)

Counting points on curves using a map to \(\mathbf P^1\). II. ⋮ Ternary and Quaternary Curves of Small Fixed Genus and Gonality With Many Rational Points ⋮ Binary curves of small fixed genus and gonality with many rational points ⋮ Computing zeta functions of algebraic curves using Harvey's trace formula

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