On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle
✍ Scribed by Trond Stølen Gustavsen
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 182 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We prove dimension formulas for the cotangent spaces T ^1^ and T ^2^ for a class of rational surface singularities by calculating a correction term in the general dimension formulas. We get that it is zero if the dual graph of the rational surface singularity X does not contain a particular type of configurations, and this generalizes a result of Theo de Jong stating that the correction term c (X ) is zero for rational determinantal surface singularities. In particular our result implies that c (X ) is zero for Riemenschneiders quasi‐determinantal rational surface singularities, and this also generalizes results for quotient singularities. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)