24 citations · 28 across the 10 of their papers we have counts for
4 papers · 1 filter
Low-dimensional Singularities with Free Divisors as Discriminants
Ragnar-Olaf Buchweitz, Wolfgang Ebeling, Hans-Christian Graf v. Bothmer
We present versal complex analytic families, over a smooth base and of fibre dimension zero, one, or two, where the discriminant constitutes a free divisor. These families include…
The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character
Ragnar-Olaf Buchweitz, Hubert Flenner
We generalize the decomposition theorem of Hochschild, Kostant and Rosenberg for Hochschild (co-)homology to arbitrary morphisms between complex spaces or schemes over a field of c…
Global Hochschild (co-)homology of singular spaces
R. -O. Buchweitz, H. Flenner
We introduce Hochschild (co-)homology of morphisms of schemes or analytic spaces and study its fundamental properties. In analogy with the cotangent complex we introduce the so cal…
Class and rank of differential modules
Luchezar L. Avramov, Ragnar-Olaf Buchweitz, Srikanth Iyengar
A differential module is a module equipped with a square-zero endomorphism. This structure underpins complexes of modules over rings, as well as differential graded modules over gr…