The Poincare series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface

作者：Galindo Carlos; Monserrat Francisco^*

来源：Advances in Mathematics, 2010, 225(2): 1046-1068.

DOI：10.1016/j.aim.2010.03.008

• Multiplier ideal
• Simple complete ideal
• Poincare series

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 Poincare series P(p), 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(p) is a rational function giving an explicit expression for it.

• 出版日期2010-10-1