Twelve Rational curves on Enriques surfaces

Rams, Sławomir; Schütt, Matthias

dc.identifier.uri	http://dx.doi.org/10.15488/14954
dc.identifier.uri	https://www.repo.uni-hannover.de/handle/123456789/15073
dc.contributor.author	Rams, Sławomir
dc.contributor.author	Schütt, Matthias
dc.date.accessioned	2023-10-16T07:34:26Z
dc.date.available	2023-10-16T07:34:26Z
dc.date.issued	2021
dc.identifier.citation	Rams, S.; Schütt, M.: Twelve Rational curves on Enriques surfaces. In: Research in the Mathematical Sciences 8 (2021), Nr. 2, 22. DOI: https://doi.org/10.1007/s40687-021-00262-7
dc.description.abstract	Given d∈ N, we prove that any polarized Enriques surface (over any field k of characteristic p≠ 2 or with a smooth K3 cover) of degree greater than 12 d2 contains at most 12 rational curves of degree at most d. For d> 2 , we construct examples of Enriques surfaces of high degree that contain exactly 12 rational degree-d curves.	eng
dc.language.iso	eng
dc.publisher	New York, NY [u.a.] : Springer
dc.relation.ispartofseries	Research in the Mathematical Sciences 8 (2021), Nr. 2
dc.rights	CC BY 4.0 Unported
dc.rights.uri	https://creativecommons.org/licenses/by/4.0
dc.subject	Enriques surface	eng
dc.subject	Genus one fibration	eng
dc.subject	Hyperbolic lattice	eng
dc.subject	Parabolic lattice	eng
dc.subject	Polarization	eng
dc.subject	Rational curve	eng
dc.subject.ddc	510 \| Mathematik
dc.title	Twelve Rational curves on Enriques surfaces	eng
dc.type	Article
dc.type	Text
dc.relation.essn	2197-9847
dc.relation.issn	2522-0144
dc.relation.doi	https://doi.org/10.1007/s40687-021-00262-7
dc.bibliographicCitation.issue	2
dc.bibliographicCitation.volume	8
dc.bibliographicCitation.firstPage	22
dc.description.version	publishedVersion	eng
tib.accessRights	frei zug�nglich
dc.bibliographicCitation.articleNumber	22