Mostrar el registro sencillo del ítem

Determining the primes of bad reduction of cm curves of genus 3

hal.structure.identifierModélisation, Information et Systèmes - UR UPJV 4290 [MIS]
dc.contributor.authorIONICA, Sorina
hal.structure.identifierLithe and fast algorithmic number theory [LFANT]
hal.structure.identifierUniversiteit Leiden = Leiden University
hal.structure.identifierAnalyse cryptographique et arithmétique [CANARI]
dc.contributor.authorKILIÇER, Pınar
hal.structure.identifierUniversité de Neuchâtel = University of Neuchatel [UNINE]
hal.structure.identifierModélisation, Information et Systèmes - UR UPJV 4290 [MIS]
dc.contributor.authorLAUTER, Kristin
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
hal.structure.identifierModélisation, Information et Systèmes - UR UPJV 4290 [MIS]
dc.contributor.authorLORENZO GARCÍA, Elisa
hal.structure.identifierUniversiteit Leiden = Leiden University
hal.structure.identifierModélisation, Information et Systèmes - UR UPJV 4290 [MIS]
dc.contributor.authorMÂNZĂŢEANU, Adelina
hal.structure.identifierUniversity of Vermont [Burlington]
hal.structure.identifierModélisation, Information et Systèmes - UR UPJV 4290 [MIS]
dc.contributor.authorVINCENT, Christelle
dc.date.accessioned2024-04-04T02:29:40Z
dc.date.available2024-04-04T02:29:40Z
dc.date.issued2024-03-05
dc.identifier.issn0033-5606
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190198
dc.description.abstractEnIn this paper, we introduce a new problem called the Isogenous Embedding Problem (IEP) and relate the existence of solutions to this problem to the primes of bad reduction of complex multiplication curves of genus 3. More precisely, the absence of solutions to IEP implies potentially good reduction. We propose an algorithm for computing the solutions to the IEP and run the algorithm through different families of curves. Using this algorithm, we were able to prove the reduction type of some particular curves at certain primes that were open cases in R. Lercier, Q. Liu, E. Lorenzo García and C. Ritzenthaler, Reduction type of smooth plane quartics, Algebra Number Theory 15 no. 6 2021, 1429–1468.
dc.description.sponsorshipMéthodes pour les variétés abéliennes de petite dimension - ANR-20-CE40-0013
dc.language.isoen
dc.publisherOxford University Press (OUP)
dc.title.enDetermining the primes of bad reduction of cm curves of genus 3
dc.typeArticle de revue
dc.identifier.doi10.1093/qmath/haae005
dc.subject.halMathématiques [math]
dc.identifier.arxiv2212.14083
bordeaux.journalQuarterly Journal of Mathematics
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-04517665
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04517665v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Quarterly%20Journal%20of%20Mathematics&rft.date=2024-03-05&rft.eissn=0033-5606&rft.issn=0033-5606&rft.au=IONICA,%20Sorina&KILI%C3%87ER,%20P%C4%B1nar&LAUTER,%20Kristin&LORENZO%20GARC%C3%8DA,%20Elisa&M%C3%82NZ%C4%82%C5%A2EANU,%20Adelina&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem