6533b86ffe1ef96bd12cdb0f

RESEARCH PRODUCT

On a Theorem of Greuel and Steenbrink

Duco Van Straten

subject

Pure mathematicsMathematics::Algebraic GeometryGeneral theoremSingularityBetti numberGravitational singularityNormal surfaceMathematics::Algebraic TopologySmoothingMathematics

description

A famous theorem of Greuel and Steenbrink states that the first Betti number of the Milnor fibre of a smoothing of a normal surface singularity vanishes. In this paper we prove a general theorem on the first Betti number of a smoothing that implies an analogous result for weakly normal singularities.

https://doi.org/10.1007/978-3-319-28829-1_17