English

Cotangent cohomology of rational surface singularities

Algebraic Geometry 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9809132,
  title  = {Cotangent cohomology of rational surface singularities},
  author = {Klaus Altmann and Jan Stevens},
  journal= {arXiv preprint arXiv:math/9809132},
  year   = {2009}
}

Comments

14 pages, LaTeX 2e