On sandwiched singularities and complete ideals

[摘要] Given a complete ideal I in a two-dimensional normal complete local C-algebra having a rational singularity, we prove that there is a bijection between the set of complete ideals of codimension one contained in I and the set of points in the exceptional locus of the surface X = Bl(l)(R). As a consequence, in the case the ring R is regular, we are able to read from the Enriques diagram of the cluster of base points of I the number of singularities on X as well as their fundamental cycles and multiplicities. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-12-01