## Examples of torsion points on genus two curves.(English)Zbl 1007.11038

Summary: 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 $$y^{2}=x^{5}+x$$, $$y^{2}=x^{5}+5 x^{3}+x$$, and $$y^{2}-y=x^{5}$$.

### MSC:

 11G30 Curves of arbitrary genus or genus $$\ne 1$$ over global fields 14G25 Global ground fields in algebraic geometry

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### References:

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