Higher cotangent cohomology of rational surface singularities

Details Higher cotangent cohomology of rational surface singularities Higher cotangent cohomology of rational surface singularities

2002-04-03

arxiv.org/abs/math/0204048v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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.

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