Show simple item record

Asymptotics of Partial Density Functions for Divisors

dc.creatorRoss, Julius
dc.creatorSinger, Michael
dc.date.accessioned2016-08-17
dc.date.accessioned2018-11-24T23:26:55Z
dc.date.available2016-10-13T08:26:01Z
dc.date.available2018-11-24T23:26:55Z
dc.date.issued2016-09-19
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/260745
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3913
dc.description.abstractWe study the asymptotic behaviour of the partial density function associated to sections of a positive hermitian line bundle that vanish to a particular order along a fixed divisor $Y$ . Assuming the data in question is invariant under an $S^1$-action (locally around $Y$ ) we prove that this density function has a distributional asymptotic expansion that is in fact smooth upon passing to a suitable real blow-up. Moreover we recover the existence of the “forbidden region” $R$ on which the density function is exponentially small, and prove that it has an “error-function” behaviour across the boundary $\delta R$. As an illustrative application, we use this to study a certain natural function that can be associated to a divisor in a Kähler manifold.
dc.languageen
dc.publisherSpringer
dc.publisherThe Journal of Geometric Analysis
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsAttribution 4.0 International
dc.subjectinterface asymptotics
dc.subjectforbidden region
dc.subjectequilibrium set
dc.subjectbergman kernel
dc.titleAsymptotics of Partial Density Functions for Divisors
dc.typeArticle


Files in this item

FilesSizeFormatView
Ross_et_al-2016 ... _Geometric_Analysis-AM.pdf491.8Kbapplication/pdfView/Open
Ross_et_al-2016 ... Geometric_Analysis-VoR.pdf795.0Kbapplication/pdfView/Open

This item appears in the following Collection(s)

Show simple item record