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The CM class number one problem for curves of genus 2
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Universiteit Leiden = Leiden University | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| dc.contributor.author | KILIÇER, Pınar | |
| hal.structure.identifier | Universiteit Leiden = Leiden University | |
| dc.contributor.author | STRENG, Marco | |
| dc.date.accessioned | 2024-04-04T03:16:34Z | |
| dc.date.available | 2024-04-04T03:16:34Z | |
| dc.date.issued | 2023-03 | |
| dc.identifier.issn | 2363-9555 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194225 | |
| dc.description.abstractEn | The CM class number one problem for elliptic curves asked to find all elliptic curves defined over the rationals with non-trivial endomorphism ring. For genus-2 curves it is the problem of determining all CM curves of genus 2 defined over the reflex field. We solve the problem by showing that the list given in Bouyer–Streng [3, Tables 1a, 1b, 2b, and 2c] is complete. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.title.en | The CM class number one problem for curves of genus 2 | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s40993-022-00417-7 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Research in Number Theory | |
| bordeaux.page | article 15 | |
| bordeaux.volume | 9 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01248630 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01248630v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Research%20in%20Number%20Theory&rft.date=2023-03&rft.volume=9&rft.issue=1&rft.spage=article%2015&rft.epage=article%2015&rft.eissn=2363-9555&rft.issn=2363-9555&rft.au=KILI%C3%87ER,%20P%C4%B1nar&STRENG,%20Marco&rft.genre=article |
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