Explicit two-cover descent for genus 2 curves

DOI10.1007/s40993-022-00375-0zbMath1506.11095arXiv2009.10313OpenAlexW3088999751WikidataQ114217972 ScholiaQ114217972MaRDI QIDQ2674249

Daniel Rayor Hast

Publication date: 22 September 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10313

zbMATH Keywords

rational points on curvesétale descentChabauty's method

Mathematics Subject Classification ID

Rational points (14G05) Computer solution of Diophantine equations (11Y50) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Uses Software

• Magma
• SageMath
• LMFDB
• GitHub

Cites Work

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• Covering collections and a challenge problem of Serre
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• Geometric Invariant Theory
• Chabauty methods using elliptic curves
• Towers of 2-covers of hyperelliptic curves
• The Riemann Hypothesis over Finite Fields: From Weil to the Present Day

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