Show simple item record

A Short Survey on the Integral Identity Conjectureand Theories of Motivic Integration

dc.contributor.authorThuong, L.Q.
dc.date.accessioned2017-01-03T17:53:33Z
dc.date.available2017-01-03T17:53:33Z
dc.date.issued2016-12-16
dc.identifier.issn0251-4184
dc.identifier.urihttp://hdl.handle.net/20.500.11824/341
dc.description.abstractIn Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these invariants. A purpose of this note is to show how the conjecture arises. Because of the integral identity’s nature, we shall give a quick tour on theories of motivic integration, which lead to a proof of the conjecture for algebraically closed ground fields of characteristic zero.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectMotivic integrationen_US
dc.subjectFormal schemesen_US
dc.subjectRigid varietiesen_US
dc.subjectVolume Poincaré seriesen_US
dc.subjectResolution of singularityen_US
dc.subjectIntegral identity conjectureen_US
dc.subjectDefinable setsen_US
dc.titleA Short Survey on the Integral Identity Conjectureand Theories of Motivic Integrationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s40306-016-0197-5
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs40306-016-0197-5en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/615655en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleActa Mathematica Vietnamicaen_US


Files in this item

Thumbnail
Name:
Thuong_VPN_conference.pdf
Size:
444.7Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España