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On Morin configurations of higher length
This paper studies finite Morin configurations F of planes in P5 having higher length-a question naturally related to the theory of Gushel–Mukai varieties. The uniqueness of the configuration of maximal cardinality 20 is proven. This is related to the canonical genus 6 curve Cℓ union of the 10 lines in a smooth quintic Del Pezzo surface Y in P5 and to the Petersen graph. More in general an irreducible family of special configurations of length ≥11, we name as Morin–Del Pezzo configurations, is considered and studied. This includes the configuration of maximal cardinality and families of configurations of lenght ≥16, previously unknown. It depends on 9 moduli and is defined via the family of nodal and rational canonical curves of Y. The special relations between Morin–Del Pezzo configurations and the geometry of special threefolds, like the Igusa quartic or its dual Segre primal, are focused.
| dc.abstract.en | This paper studies finite Morin configurations F of planes in P5 having higher length-a question naturally related to the theory of Gushel–Mukai varieties. The uniqueness of the configuration of maximal cardinality 20 is proven. This is related to the canonical genus 6 curve Cℓ union of the 10 lines in a smooth quintic Del Pezzo surface Y in P5 and to the Petersen graph. More in general an irreducible family of special configurations of length ≥11, we name as Morin–Del Pezzo configurations, is considered and studied. This includes the configuration of maximal cardinality and families of configurations of lenght ≥16, previously unknown. It depends on 9 moduli and is defined via the family of nodal and rational canonical curves of Y. The special relations between Morin–Del Pezzo configurations and the geometry of special threefolds, like the Igusa quartic or its dual Segre primal, are focused. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
| dc.contributor.author | Kapustka, Grzegorz - 160641 | pl |
| dc.contributor.author | Verra, Alessandro | pl |
| dc.date.accessioned | 2022-02-25T22:51:53Z | |
| dc.date.available | 2022-02-25T22:51:53Z | |
| dc.date.issued | 2022 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 1 | pl |
| dc.description.physical | 728-773 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 2022 | pl |
| dc.identifier.doi | 10.1093/imrn/rnaa170 | pl |
| dc.identifier.eissn | 1687-0247 | pl |
| dc.identifier.issn | 1073-7928 | pl |
| dc.identifier.project | 2018/30/E/ST1/00530 | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/288603 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Dodaję tylko opis bibliograficzny | * |
| dc.rights.licence | Inna otwarta licencja | |
| dc.rights.uri | * | |
| dc.share.type | otwarte czasopismo | |
| dc.subtype | Article | pl |
| dc.title | On Morin configurations of higher length | pl |
| dc.title.journal | International Mathematics Research Notices | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |