Poincar, series of divisorial filtration corresponding to a curve with one place at infinity

被引：0

作者：

Buryak, A. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 87卷 / 1-2期

关键词：

plane irreducible affine curve; multi-index filtration; exceptional divisor; Poincare series; irreducible divisor; dual graph; complex projective plane; AFFINE PLANE-CURVES;

D O I：

10.1134/S0001434610010074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The exceptional divisor component of the projective plane modified by a sequence of blow-ups determines filtration on the ring of polynomials in two variables. The set of such components determines the multi-index filtration on this ring. The Poincar, series of this filtration is calculated for some sets of components provided that the modification under study is the minimal resolution of a plane algebraic curve with one place at infinity.

引用

页码：52 / 58

页数：7

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