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Reducing models for branched covers of the projective line
Multi angle
Authors : Voight, John (Author of the conference)
CIRM (Publisher )
11T71 - Algebraic coding theory; cryptography
16U20 - Ore rings, multiplicative sets, Ore localization
94B05 - Linear codes, general
Additional resources :
https://www.cirm-math.fr/RepOrga/3343/Slides/Voight_Toric-reduce-CIRM.pdf
CIRM (Publisher )
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Abstract :
We discuss methods for taking a curve over a number field, equipped with a finite degree map to the projective line, and computing a small (possibly singular) affine plane model.
Keywords : Belyi map; curve mode; minimization; reduction
MSC Codes : Keywords : Belyi map; curve mode; minimization; reduction
11T71 - Algebraic coding theory; cryptography
16U20 - Ore rings, multiplicative sets, Ore localization
94B05 - Linear codes, general
Additional resources :
https://www.cirm-math.fr/RepOrga/3343/Slides/Voight_Toric-reduce-CIRM.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/07/2025 Conference Date : 09/06/2025 Subseries : Research talks arXiv category : Algebraic Geometry ; Number Theory Mathematical Area(s) : Computer Science ; Algebraic & Complex Geometry ; Number Theory Format : MP4 (.mp4) - HD Video Time : 00:30:51 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-06-09_Voight.mp4 
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Information on the Event
Event Title : AGCT 2025 - Arithmetic, Geometry, Cryptography and Coding Theory / AGCT 2025 - Arithmétique, Géométrie, Cryptographie et Théorie des CodesEvent Organizers : Aubry, Yves ; Pazuki, Fabien ; Salgado, Cecilia Dates : 09/06/2025 - 13/06/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3343.html
Citation Data
DOI : 10.24350/CIRM.V.20363903Cite this video as: Voight, John (2025). Reducing models for branched covers of the projective line. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20363903 URI : http://dx.doi.org/10.24350/CIRM.V.20363903 |
See Also
- [Multi angle] Vertical coincidences of an elliptic curve defined over a number field / Author of the conference Yvon, Zoé.
- [Multi angle] Structure of supersingular elliptic curve isogeny graphs / Author of the conference Scheidler, Renate.
- [Multi angle] Automorphism groups of algebraic curves in positive characteristic / Author of the conference Montanucci, Maria.
- [Multi angle] The point-hyperplane geometry: relatively universal embeddings and associated codes / Author of the conference Cardinali, Ilaria.
- [Multi angle] Evaluation codes in the sum-rank metric / Author of the conference Berardini, Elena.
Bibliography
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