English

Higher cotangent cohomology of rational surface singularities

Algebraic Geometry 2007-05-23 v1 Complex Variables

Abstract

The cotangent cohomology groups T^1 and T^2 play an important role in deformation theory, the first as space of infinitesimal deformations, while the obstructions land in the second. Much work has been done to compute their dimension for rational surface singularities. For such singularities we give explicit dimension formulas for the groups T^i with i>2.

Keywords

Cite

@article{arxiv.math/0204048,
  title  = {Higher cotangent cohomology of rational surface singularities},
  author = {Jan Stevens},
  journal= {arXiv preprint arXiv:math/0204048},
  year   = {2007}
}

Comments

15 pages

R2 v1 2026-07-22T16:44:20.271Z