The 2-class groups of cubic fields and 2-descents on elliptic curves

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概要

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• We investigate the relationship between the 2-class groups of cubic fields and the Mordell-Weil groups of elliptic curves defined over Q. There is an exact sequence which connects those two groups together for a certain kind of cyclic cubic fields. Using the twists of elliptic curves, we give a more precise result for the simplest cubic fields.

• 東北大学の論文

著者

• Nakano Shin

  Department Of Applied Science Faculty Of Science Kochi University

• Nakano Shin

  Department Of Mathematics College Of General Education Nagoya University

• Kawachi Mayumi

  Department of Mathematics, Faculty of Science, Tokyo Matropolitan University

• Kawachi Mayumi

  Department Of Mathematics Faculty Of Science Tokyo Matropolitan University

関連論文

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• The 2-class groups of cubic fields and 2-descents on elliptic curves

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