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dc.contributor.authorArcara, Daniele
dc.contributor.authorBertram, Aaron
dc.contributor.authorCoskun, Izzet
dc.contributor.authorHuizenga, Jack
dc.date.accessioned2013-12-03T20:49:44Z
dc.date.available2013-12-03T20:49:44Z
dc.date.issued2013-03
dc.identifier.bibliographicCitationArcara D, Bertram A, Coskun I, Huizenga J. The minimal model program for the Hilbert scheme of points on P-2 and Bridgeland stability. Advances in Mathematics. Mar 2013;235:580-626. DOI: 10.1016/j.aim.2012.11.018en_US
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/10027/10747
dc.descriptionNOTICE: This is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Advances in Mathematics, [Vol 235, 2013] DOI: 10.1016/j.aim.2012.11.018en_US
dc.description.abstractIn this paper, we study the birational geometry of the Hilbert scheme P-2[n] of n-points on P-2. We discuss the stable base locus decomposition of the effective cone and the corresponding birational models. We give modular interpretations to the models in terms of moduli spaces of Bridgeland semi-stable objects. We construct these moduli spaces as moduli spaces of quiver representations using G.I.T. and thus show that they are projective. There is a precise correspondence between wall-crossings in the Bridgeland stability manifold and wall-crossings between Mori cones. For n <= 9, we explicitly determine the walls in both interpretations and describe the corresponding flips and divisorial contractions.en_US
dc.description.sponsorshipDuring the preparation of this article the second author was partially supported by the NSF grant DMS-0901128. The third author was partially supported by the NSF grant DMS-0737581, NSF CAREER grant 0950951535, and an Arthur P. Sloan Foundation Fellowship. The fourth author was partially supported by an NSF Graduate Research Fellowship.en_US
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.subjectHilbert schemeen_US
dc.subjectMinimal Model Programen_US
dc.subjectBridgeland Stability Conditionsen_US
dc.subjectquiver representationsen_US
dc.titleThe minimal model program for the Hilbert scheme of points on P-2 and Bridgeland stabilityen_US
dc.typeArticleen_US


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