dc.creator | Ross, Julius | |
dc.creator | Singer, Michael | |
dc.date.accessioned | 2016-08-17 | |
dc.date.accessioned | 2018-11-24T23:26:55Z | |
dc.date.available | 2016-10-13T08:26:01Z | |
dc.date.available | 2018-11-24T23:26:55Z | |
dc.date.issued | 2016-09-19 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/260745 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3913 | |
dc.description.abstract | We 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.language | en | |
dc.publisher | Springer | |
dc.publisher | The Journal of Geometric Analysis | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | Attribution 4.0 International | |
dc.subject | interface asymptotics | |
dc.subject | forbidden region | |
dc.subject | equilibrium set | |
dc.subject | bergman kernel | |
dc.title | Asymptotics of Partial Density Functions for Divisors | |
dc.type | Article | |