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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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 |