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Prikladnaya Diskretnaya Matematika. Supplement, 2019, Issue 12, Pages 13–17
DOI: https://doi.org/10.17223/2226308X/12/3 (Mi pdma418) 		 
Theoretical Foundations of Applied Discrete Mathematics

Calculation of $3$-torsion ideal for some class of hyperelliptic curves

E. S. Malygina

Immanuel Kant Baltic Federal University, Kaliningrad
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DOI: https://doi.org/10.17223/2226308X/12/3
Abstract: In the paper, we consider hyperelliptic curves of genus two defined by the Dickson polynomials. For such curves, we calculate the $3$-torsion ideal, namely we obtain the four generators of this ideal by using the Mumford–Cantor representation for the $3$-torsion divisor and by using of $\theta$- and $\wp$-functions.
Keywords: hyperelliptic curve, Dickson polynomial, $l$-torsion ideal, $l$-torsion divisor, modular equation.
Bibliographic databases:
Document Type: Article
UDC: 512.772.7
Language: Russian
Citation: E. S. Malygina, “Calculation of $3$-torsion ideal for some class of hyperelliptic curves”, Prikl. Diskr. Mat. Suppl., 2019, no. 12, 13–17
Citation in format AMSBIB
\Bibitem{Mal19}
\by E.~S.~Malygina
\paper Calculation of $3$-torsion ideal for some class of hyperelliptic curves
\jour Prikl. Diskr. Mat. Suppl.
\yr 2019
\issue 12
\pages 13--17
\mathnet{http://mi.mathnet.ru/pdma418}
\crossref{https://doi.org/10.17223/2226308X/12/3}
\elib{https://elibrary.ru/item.asp?id=41153839}
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