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
id ftccsdartic:oai:HAL:hal-03264086v1
record_format openpolar
spelling ftccsdartic: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 1 (UR1) Université de Rennes (UNIV-RENNES) 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 ftccsdartic 2021-11-20T23:58:10Z 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 Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Norway Tromso ENVELOPE(16.546,16.546,68.801,68.801)
institution Open Polar
collection Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe)
op_collection_id ftccsdartic
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 1 (UR1)
Université de Rennes (UNIV-RENNES)
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_ 1766218451620200448

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