New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order

В. П. Платонов, М. М. Петрунин

Type: Article

Publication Date: 2015-03-01

Citations: 2

DOI: https://doi.org/10.1134/s1064562415020325

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Doklady Mathematics - View

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Works That Cite This (1)

Action	Title	Year	Authors
+	An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28	2018	В. П. Платонов Г. В. Федоров

Works Cited by This (7)

Action	Title	Year	Authors
+	A new local-global principle for quadratic functional fields	2010	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+	On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order	2013	В. П. Платонов Владимир Сергеевич Жгун М. М. Петрунин
+	Arithmetic of quadratic fields and torsion in Jacobians	2010	В. П. Платонов
+	Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field	2014	В. П. Платонов
+ PDF Chat	Large torsion subgroups of split Jacobians of curves of genus two or three	2000	Everett W. Howe Franck Leprévost Bjorn Poonen
+	New orders of torsion points in Jacobians of curves of genus 2 over the rational number field	2012	В. П. Платонов М. М. Петрунин
+	On the torsion problem in Jacobians of curves of genus 2 over the rational number field	2012	B. P. Platonov М. М. Петрунин