Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

On 81 symplectic resolutions of a 4 -dimensional quotient by a group of order 32

Uproszczony widok
cris.lastimport.scopus2024-02-12T19:35:07Z
dc.abstract.enWe provide a construction of 81 symplectic resolutions of a 4-dimensional quotient singularity obtained by an action of a group of order 32. The existence of such resolutions is known by a result of Bellamy and Schedler. Our explicit construction is obtained via geometric invariant theory (GIT) quotients of the spectrum of a ring graded in the Picard group generated by the divisors associated to the conjugacy classes of symplectic reflections of the group in question. As a result we infer the geometric structure of these resolutions and their flops. Moreover, we represent the group in question as a group of automorphisms of an abelian 4-fold so that the resulting quotient has singularities with symplectic resolutions. This yields a new Kummer-type symplectic 4-fold.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorDonten-Bury, Maria
dc.contributor.authorWiśniewski, Jarosław
dc.date.accessioned2024-01-25T15:44:39Z
dc.date.available2024-01-25T15:44:39Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.description.number2
dc.description.volume57
dc.identifier.doi10.1215/21562261-3821846
dc.identifier.issn2156-2261
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114640
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofKyoto Journal of Mathematics
dc.relation.pages395-434
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn 81 symplectic resolutions of a 4 -dimensional quotient by a group of order 32
dc.typeJournalArticle
dspace.entity.typePublication