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Matrixwise (approach to unexpected hypersurfaces) reloaded

2025
journal article
article
10.1007/s10801-025-01477-5
Journal
Journal of Algebraic Combinatorics
100
Author
Dumnicki Marcin

Malara Grzegorz

Tutaj-Gasińska Halszka
Volume
62
Number
3
Article ID
(2025) 62:52
ISSN
0925-9899
eISSN
1572-9192
Keywords in English

unexpected hypersurfaces

interpolation matrix

determinant

URL
https://link.springer.com/article/10.1007/s10801-025-01477-5#citeas
Access date
2025-11-13
Language
English
Journal language
English
Abstract in English

In the paper we provide a new method of proving the existence of a hypersurface of degree d in P1, with a general point of multiplicity m and vanishing at a given set of points Z, by looking at weak combinatorics of a set Z. This method has a direct application in the theory of unexpected hypersurfaces, where examples are sometimes based only on computer experiments.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.abstract.enIn the paper we provide a new method of proving the existence of a hypersurface of degree d in P1, with a general point of multiplicity m and vanishing at a given set of points Z, by looking at weak combinatorics of a set Z. This method has a direct application in the theory of unexpected hypersurfaces, where examples are sometimes based only on computer experiments.
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorDumnicki, Marcin - 127822
dc.contributor.authorMalara, Grzegorz
dc.contributor.authorTutaj-Gasińska, Halszka - 132455
dc.date.accession2025-11-13
dc.date.accessioned2025-11-13T08:03:33Z
dc.date.available2025-11-13T08:03:33Z
dc.date.createdat2025-11-12T09:24:40Zen
dc.date.issued2025
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number3
dc.description.versionostateczna wersja wydawcy
dc.description.volume62
dc.identifier.articleid(2025) 62:52
dc.identifier.doi10.1007/s10801-025-01477-5
dc.identifier.eissn1572-9192
dc.identifier.issn0925-9899
dc.identifier.projectDRC AI
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/565227
dc.identifier.weblinkhttps://link.springer.com/article/10.1007/s10801-025-01477-5#citeas
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl
dc.share.typeinne
dc.subject.enunexpected hypersurfaces
dc.subject.eninterpolation matrix
dc.subject.endeterminant
dc.subtypeArticle
dc.titleMatrixwise (approach to unexpected hypersurfaces) reloaded
dc.title.journalJournal of Algebraic Combinatorics
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
In the paper we provide a new method of proving the existence of a hypersurface of degree d in P1, with a general point of multiplicity m and vanishing at a given set of points Z, by looking at weak combinatorics of a set Z. This method has a direct application in the theory of unexpected hypersurfaces, where examples are sometimes based only on computer experiments.
dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.author
Dumnicki, Marcin - 127822
dc.contributor.author
Malara, Grzegorz
dc.contributor.author
Tutaj-Gasińska, Halszka - 132455
dc.date.accession
2025-11-13
dc.date.accessioned
2025-11-13T08:03:33Z
dc.date.available
2025-11-13T08:03:33Z
dc.date.createdaten
2025-11-12T09:24:40Z
dc.date.issued
2025
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
3
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
62
dc.identifier.articleid
(2025) 62:52
dc.identifier.doi
10.1007/s10801-025-01477-5
dc.identifier.eissn
1572-9192
dc.identifier.issn
0925-9899
dc.identifier.project
DRC AI
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/565227
dc.identifier.weblink
https://link.springer.com/article/10.1007/s10801-025-01477-5#citeas
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.pl
dc.share.type
inne
dc.subject.en
unexpected hypersurfaces
dc.subject.en
interpolation matrix
dc.subject.en
determinant
dc.subtype
Article
dc.title
Matrixwise (approach to unexpected hypersurfaces) reloaded
dc.title.journal
Journal of Algebraic Combinatorics
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations
Wydział Matematyki i Informatyki
Dumnicki, Marcin
mathematics
Tutaj-Gasińska, Halszka
mathematics
No affiliation
Malara, Grzegorz

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