Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity

被引：0

作者：

Cossart, Vincent ^{[1
]}

Piltant, Olivier ^{[1
]}

Reguera, Ana J. ^{[2
]}

机构：

[1] Univ Versailles St Quentin, Lab Math LMV, UMR 8100, 45 Ave Tas Unis, F-78035 Versailles, France

[2] Univ Valladolid, Fac Ciencias, Dep Algebra Geometria Topol, Valladolid 47011, Spain

来源：

VALUATION THEORY IN INTERACTION | 2014年

关键词：

Rational surface singularity; divisorial valuation; Hilbert-Samuel function; WEDGES; ARCS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (R, M) be a rational surface singularity and nu(E) be a prime divisor of the second kind for R. Then gr(nu E)R is finitely generated over R/M. We recover information about the dual graph of the minimal resolution (X) over tilde of Spec R from the set of all gr(nu E)R. In particular we characterize those graded algebras corresponding to the exceptional curves in (X) over tilde.

引用

页码：148 / +

页数：3