The aim of this paper is to study jumping numbers and multiplier ideals of any ideal in a two-
dimensional local ring with a rational singularity. In particular, we reveal which information …

We study the multiplicity of the jumping numbers of an m-primary ideal a in a two-
dimensional local ring with a rational singularity. The formula we provide for the multiplicities …

513 The log-canonical threshold of a plane curve Page 1 Math. Proc. Camb. Phil. Soc. (2016),
160, 513–535 c Cambridge Philosophical Society 2016 doi:10.1017/S0305004116000037 First …

In this paper we make a systematic study of the multiplicity of the jumping points associated
to the mixed multiplier ideals of a family of ideals in a complex surface with rational …

We study the multiplier ideals and the corresponding jumping numbers and multiplicities
$\{m (c)\} _ {c\in\mathbb {R}} $ in the following context: $(X, o) $ is a complex analytic normal …

In this article we give an explicit formula for the jumping numbers of an ideal of finite
colength in a two-dimensional regular local ring with an algebraically closed residue field …

Los ideales de multiplicadores son una herramienta reciente en geometría birracional y
teoría de singularidades. A un subesquema de una variedad algebraica compleja lisa X, en …

Generalizamos el resultado de Howald usando la existencia de una resolución sumergida
toroidal para estas singularidades. La estructura de estas resoluciones viene determinada …

We prove the rationality of the Poincaré series of multiplier ideals in any dimension thus
extending the main results for surfaces of Galindo and Monserrat and Alberich-Carramiñana …

Thompson (2014) exhibits a formula for the multiplier ideal with multiplier λ of a monomial
curve C with ideal I as an intersection of a term coming from the I-adic valuation, the …