Manin involutions for elliptic pencils and discrete integrable systems
| dc.contributor.author | Petrera, Matteo | |
| dc.contributor.author | Suris, Yuri B. | |
| dc.contributor.author | Wei, Kangning | |
| dc.contributor.author | Zander, René | |
| dc.date.accessioned | 2021-07-12T08:33:30Z | |
| dc.date.available | 2021-07-12T08:33:30Z | |
| dc.date.issued | 2021-03-04 | |
| dc.description.abstract | We contribute to the algebraic-geometric study of discrete integrable systems generated by planar birational maps: (a) we find geometric description of Manin involutions for elliptic pencils consisting of curves of higher degree, birationally equivalent to cubic pencils (Halphen pencils of index 1), and (b) we characterize special geometry of base points ensuring that certain compositions of Manin involutions are integrable maps of low degree (quadratic Cremona maps). In particular, we identify some integrable Kahan discretizations as compositions of Manin involutions for elliptic pencils of higher degree. | en |
| dc.identifier.eissn | 1572-9656 | |
| dc.identifier.issn | 1385-0172 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/13412 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-12196 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | elliptic curve | en |
| dc.subject.other | elliptic pencil | en |
| dc.subject.other | birational map | en |
| dc.subject.other | integrable map | en |
| dc.title | Manin involutions for elliptic pencils and discrete integrable systems | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 6 | en |
| dcterms.bibliographicCitation.doi | 10.1007/s11040-021-09376-4 | en |
| dcterms.bibliographicCitation.journaltitle | Mathematical Physics, Analysis and Geometry | en |
| dcterms.bibliographicCitation.originalpublishername | Springer Nature | en |
| dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | en |
| dcterms.bibliographicCitation.volume | 24 | 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 |