Cotangent cohomology of rational surface singularities

Details Cotangent cohomology of rational surface singularities Cotangent cohomology of rational surface singularities

1998-09-23

arxiv.org/abs/math/9809132v1

Mathematics

Algebraic Geometry

14 pages, LaTeX 2e

Scientific paper

10.1007/s002220050345

We show that the number of generators of the n-th cotangent cohomology group
(n >=2) is the same for all rational surface singularities Y. For a large class
of rational surface singularities, including quotient singularities, this
number is also the dimension. For them we obtain an explicit formula for the
corresponding Poincare series.

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