TY - JOUR

T1 - Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities

AU - Alberich-Carramiñana, Maria

AU - Àlvarez Montaner, Josep

AU - Dachs-Cadefau, Ferran

AU - González-Alonso, Víctor

N1 - Funding information: All four authors were partially supported by Generalitat de Catalunya SGR2014-634 project and Spanish Ministerio de Economía y Competitividad MTM2015-69135-P . FDC is also supported by the KU Leuven grant OT/11/069 . VGA is also supported by the ERC StG 279723 “Arithmetic of algebraic surfaces” (SURFARI). MAC is also with the Institut de Robòtica i Informàtica Industrial (CSIC-UPC) and the Barcelona Graduate School of Mathematics (BGSMath).

PY - 2017/1/2

Y1 - 2017/1/2

N2 - 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 leads to a very simple and efficient method to detect whether a given rational number is a jumping number. We also give an explicit description of the Poincaré series of multiplier ideals associated to a proving, in particular, that it is a rational function.

AB - 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 leads to a very simple and efficient method to detect whether a given rational number is a jumping number. We also give an explicit description of the Poincaré series of multiplier ideals associated to a proving, in particular, that it is a rational function.

UR - http://www.scopus.com/inward/record.url?scp=84987898804&partnerID=8YFLogxK

UR - https://arxiv.org/abs/1412.3607

U2 - 10.1016/j.aim.2016.09.008

DO - 10.1016/j.aim.2016.09.008

M3 - Article

AN - SCOPUS:84987898804

VL - 304

SP - 769

EP - 792

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -