The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONThis resource is restricted
http://dx.doi.org/10.1016/j.aim.2010.03.008 |
Metadata
Title
The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surfaceDate
2010Publisher
ElsevierISSN
18708Bibliographic citation
Advances in Mathematics, 225, 2, p. 1046-1068Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
For a simple complete ideal p of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series P<sub>p</sub>, that gathers in a unified way the jumping ... [+]
For a simple complete ideal p of a local ring at a closed point on a smooth complex algebraic surface, we introduce an algebraic object, named Poincaré series P<sub>p</sub>, that gathers in a unified way the jumping numbers and the dimensions of the vector space quotients given by consecutive multiplier ideals attached to p. This paper is devoted to prove that P<sub>p</sub> is a rational function giving an explicit expression for it. © 2010 Elsevier Inc. [-]
Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
This item appears in the folowing collection(s)
- MAT_Articles [770]