𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On sandwiched singularities and complete ideals

✍ Scribed by Jesús Fernández-Sánchez

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
191 KB
Volume
185
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis

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 = BlI (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.

📜 SIMILAR VOLUMES

A characteristicpanalogue of plt singula
A characteristicpanalogue of plt singularities and adjoint ideals
✍ Shunsuke Takagi 📂 Article 📅 2007 🏛 Springer-Verlag 🌐 French ⚖ 343 KB

We introduce a new variant of tight closure and give an interpretation of adjoint ideals via this tight closure. As a corollary, we prove that a log pair (X, Δ) is plt if and only if the modulo p reduction of (X, Δ) is divisorially F-regular for all large p ≫ 0. Here, divisorially F-regular pairs ar