Details
Original language | English |
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Pages (from-to) | 769-792 |
Number of pages | 24 |
Journal | Advances in Mathematics |
Volume | 304 |
Publication status | Published - 2 Jan 2017 |
Abstract
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In: Advances in Mathematics, Vol. 304, 02.01.2017, p. 769-792.
Research output: Contribution to journal › Article › Research › peer review
}
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 -