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On quadratic twists of hyperelliptic curves

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Publication:457958
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DOI10.1216/RMJ-2014-44-3-1015zbMath1304.14041arXiv1010.0732MaRDI QIDQ457958

Mohammad Sadek

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0732


zbMATH Keywords

hyperelliptic curvesquadratic twist


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special algebraic curves and curves of low genus (14H45)


Related Items

ABC and the Hasse principle for quadratic twists of hyperelliptic curves ⋮ 2‐Selmer parity for hyperelliptic curves in quadratic extensions ⋮ The Sato-Tate conjecture and Nagao's conjecture



Cites Work

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  • Wild quotient singularities of surfaces
  • Stable reduction of curves and tame ramification
  • Minimal resolution of Atkin-Lehner quotients of \(X_0(N)\)
  • Dual graphs of degenerating curves
  • Models of curves and wild ramification
  • The complete classification of fibres in pencils of curves of genus two
  • Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète
  • Problems in Algebraic Number Theory
  • MINIMAL MODELS OF CURVES OF GENUS 2 AND HOMOMORPHISMS OF ABELIAN VARIETIES DEFINED OVER A FIELD OF FINITE CHARACTERISTIC
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