Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

The Coolidge--Nagata conjecture

Uproszczony widok
dc.abstract.enLet E in P^2 be a complex rational cuspidal curve contained in the projective plane. The Coolidge–Nagata conjecture asserts that E is Cremona-equivalent to a line, that is, it is mapped onto a line by some birational transformation of P^2. The second author recently analyzed the log minimal model program run for the pair (X,1/2 D), where (X,D)→(P^2,E) is a minimal resolution of singularities, and as a corollary he proved the conjecture in the case when more than one irreducible curve in P^2∖E is contracted by the process of minimalization. We prove the conjecture in the remaining cases.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKoras, Mariusz
dc.contributor.authorPalka, Karol
dc.date.accessioned2024-01-26T10:09:36Z
dc.date.available2024-01-26T10:09:36Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.description.number16
dc.description.volume166
dc.identifier.doi10.1215/00127094-2017-0010
dc.identifier.issn0012-7094
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/122042
dc.identifier.weblinkhttps://doi.org/10.1215/00127094-2017-0010
dc.languageeng
dc.relation.ispartofDuke Mathematical Journal
dc.relation.pages3085-3145
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleThe Coolidge--Nagata conjecture
dc.typeJournalArticle
dspace.entity.typePublication