On the singularity structure of Kahan discretizations of a class of quadratic vector fields
dc.contributor.author | Zander, René | |
dc.date.accessioned | 2021-09-13T10:41:46Z | |
dc.date.available | 2021-09-13T10:41:46Z | |
dc.date.issued | 2021-06-30 | |
dc.description.abstract | We discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves. | en |
dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2021 | en |
dc.identifier.eissn | 2199-6768 | |
dc.identifier.issn | 2199-675X | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/13530 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-12313 | |
dc.language.iso | en | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
dc.subject.ddc | 516 Geometrie | de |
dc.subject.other | birational map | en |
dc.subject.other | integrable map | en |
dc.subject.other | elliptic curve | en |
dc.subject.other | elliptic pencil | en |
dc.title | On the singularity structure of Kahan discretizations of a class of quadratic vector fields | en |
dc.type | Article | en |
dc.type.version | publishedVersion | en |
dcterms.bibliographicCitation.doi | 10.1007/s40879-021-00479-4 | en |
dcterms.bibliographicCitation.journaltitle | European Journal of Mathematics | en |
dcterms.bibliographicCitation.originalpublishername | Springer Nature | en |
dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | en |
dcterms.bibliographicCitation.pageend | 1073 | en |
dcterms.bibliographicCitation.pagestart | 1046 | en |
dcterms.bibliographicCitation.volume | 7 | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Geometrie und Mathematische Physik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.group | FG Geometrie und Mathematische Physik | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |