Examples of torsion points on genus two curves
نویسندگان
چکیده
منابع مشابه
Examples of Torsion Points on Genus Two Curves
We describe a method that sometimes determines all the torsion points lying on a curve of genus two defined over a number field and embedded in its Jacobian using a Weierstrass point as base point. We then apply this to the examples y2 = x5 + x, y2 = x5 + 5x3 + x, and y2 − y = x5.
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CONTENTS Let X be a curve of genus g > 2 over a field k of characteristic
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02368-0