Functionalities for genus $2$ and $3$ curves

13 pages International audience 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 e...

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Bibliographic Details
Main Authors: Lercier, Reynald, Sijsling, Jeroen, Ritzenthaler, Christophe
Other Authors: Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)
Format: Conference Object
Language:English
Published: HAL CCSD 2021
Subjects:
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Norway
Tromso
Online Access:https://hal.inria.fr/hal-03264086
Description
Summary:13 pages International audience 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.

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