Skip navigation
Skip navigation

Second Flip in the Hassett-Keel program: Projectivity

Alper, Jarod; Fedorchuk, Maksym; Smyth, David

Description

For the moduli stacks of α-stable curves introduced in [4], we prove nefness of natural log canonical divisors, thus generalizing a well-known result of Cornalba and Harris for the moduli stack of Deligne–Mumford stable curves. We then deduce the projectivity of the good moduli spaces of α-stable curves and identify these moduli spaces with the log canonical models of Mg ,n appearing in the Hassett–Keel program.

dc.contributor.authorAlper, Jarod
dc.contributor.authorFedorchuk, Maksym
dc.contributor.authorSmyth, David
dc.date.accessioned2019-04-29T23:44:53Z
dc.identifier.issn1073-7928
dc.identifier.urihttp://hdl.handle.net/1885/160753
dc.description.abstractFor the moduli stacks of α-stable curves introduced in [4], we prove nefness of natural log canonical divisors, thus generalizing a well-known result of Cornalba and Harris for the moduli stack of Deligne–Mumford stable curves. We then deduce the projectivity of the good moduli spaces of α-stable curves and identify these moduli spaces with the log canonical models of Mg ,n appearing in the Hassett–Keel program.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherOxford University Press
dc.rights© The Author(s) 2016. Published by Oxford University Press
dc.sourceInternational Mathematics Research Notices
dc.titleSecond Flip in the Hassett-Keel program: Projectivity
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume2017
dc.date.issued2017
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationu4485658xPUB283
local.publisher.urlhttp://www.oxfordjournals.org/
local.type.statusPublished Version
local.contributor.affiliationAlper, Jarod, College of Science, ANU
local.contributor.affiliationFedorchuk, Maksym, Boston College
local.contributor.affiliationSmyth, David, College of Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue24
local.bibliographicCitation.startpage7375
local.bibliographicCitation.lastpage7419
local.identifier.doi10.1093/imrn/rnw216
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2019-03-12T07:35:23Z
local.identifier.scopusID2-s2.0-85019190490
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Alper_Second_Flip_in_the_2017.pdf406.35 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator