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 (UR)
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
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spelling ftunivrennes1hal:oai:HAL:hal-03264086v1 2023-05-15T18:33:48+02:00 Functionalities for genus $2$ and $3$ curves Lercier, Reynald Sijsling, Jeroen Ritzenthaler, Christophe Université de Rennes (UR) Tromso, Norway 2021-06-07 https://hal.inria.fr/hal-03264086 en eng HAL CCSD info:eu-repo/semantics/altIdentifier/arxiv/2102.04372 hal-03264086 https://hal.inria.fr/hal-03264086 ARXIV: 2102.04372 MEGA 2021 https://hal.inria.fr/hal-03264086 MEGA 2021, Jun 2021, Tromso, Norway [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] info:eu-repo/semantics/conferenceObject Conference papers 2021 ftunivrennes1hal 2023-03-15T01:01:03Z 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. Conference Object Tromso Tromso Université de Rennes 1: Publications scientifiques (HAL) Norway Tromso ENVELOPE(16.546,16.546,68.801,68.801)
institution Open Polar
collection Université de Rennes 1: Publications scientifiques (HAL)
op_collection_id ftunivrennes1hal
language English
topic [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
spellingShingle [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Lercier, Reynald
Sijsling, Jeroen
Ritzenthaler, Christophe
Functionalities for genus $2$ and $3$ curves
topic_facet [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
description 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.
author2 Université de Rennes (UR)
format Conference Object
author Lercier, Reynald
Sijsling, Jeroen
Ritzenthaler, Christophe
author_facet Lercier, Reynald
Sijsling, Jeroen
Ritzenthaler, Christophe
author_sort Lercier, Reynald
title Functionalities for genus $2$ and $3$ curves
title_short Functionalities for genus $2$ and $3$ curves
title_full Functionalities for genus $2$ and $3$ curves
title_fullStr Functionalities for genus $2$ and $3$ curves
title_full_unstemmed Functionalities for genus $2$ and $3$ curves
title_sort functionalities for genus $2$ and $3$ curves
publisher HAL CCSD
publishDate 2021
url https://hal.inria.fr/hal-03264086
op_coverage Tromso, Norway
long_lat ENVELOPE(16.546,16.546,68.801,68.801)
geographic Norway
Tromso
geographic_facet Norway
Tromso
genre Tromso
Tromso
genre_facet Tromso
Tromso
op_source MEGA 2021
https://hal.inria.fr/hal-03264086
MEGA 2021, Jun 2021, Tromso, Norway
op_relation info:eu-repo/semantics/altIdentifier/arxiv/2102.04372
hal-03264086
https://hal.inria.fr/hal-03264086
ARXIV: 2102.04372
_version_ 1766218450267537408

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