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Conference Papers Year : 2021

Functionalities for genus $2$ and $3$ curves

Reynald Lercier
Jeroen Sijsling
  • Function : Author
Christophe Ritzenthaler


We gather and illustrate some functions that we wrote in the Magma computer algebra system for curves of genus $2$ and $3$. In genus $3$, we furnish functions both for non-hyperelliptic and for hyperelliptic curves. A fair bit of the functionality in the latter case extends to hyperelliptic curves of arbitrary genus.

Dates and versions

hal-03264086 , version 1 (17-06-2021)



Reynald Lercier, Jeroen Sijsling, Christophe Ritzenthaler. Functionalities for genus $2$ and $3$ curves. MEGA 2021, Jun 2021, Tromso, Norway. ⟨hal-03264086⟩
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