The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface
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http://dx.doi.org/10.1016/j.aim.2010.03.008 |
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Títol
The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surfaceData de publicació
2010Editor
ElsevierISSN
18708Cita bibliogràfica
Advances in Mathematics, 225, 2, p. 1046-1068Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
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