19 citations · 26 across the 5 of their papers we have counts for
7 papers
On the topology of determinantal links
Matthias Zach
We study the cohomology of the generic determinantal varieties , their polar multiplicities, their sections $D_k \…
Determinantal Singularities
Anne Frühbis-Krüger, Matthias Zach
We survey determinantal singularities, their deformations, and their topology. This class of singularities generalizes the well studied case of complete intersections in several di…
Cohomological connectivity of perturbations of map-germs
Yongqiang Liu, Guillermo Peñafort Sanchis, Matthias Zach
Let be a finite map-germ with and the image of a small perturbation . We show that the reduced cohomology of is…
A generalization of Milnor's formula
Matthias Zach
We describe a generalization of Milnor's formula for the Milnor number of an isolated hypersurface singularity to the case of a function whose restriction to an arbit…
Bouquet decomposition for determinantal Milnor fibers
Matthias Zach
We provide a bouquet decomposition for the determinantal Milnor fiber of an essentially isolated determinantal singularity of arbitrary type . The building blocks in the d…
Vanishing cycles of smoothable isolated Cohen-Macaulay codimension 2 singularities of type 2
Matthias Zach
We extend the results from the previous paper by A. Frühbis-Krüger and the author [arXiv:1501.01915] to the vanishing topology of those singularities in the title. Studying the cas…
On the Vanishing Topology of Isolated Cohen-Macaulay Codimension 2 Singularities
Anne Fruehbis-Krueger, Matthias Zach
Isolated Cohen-Macaulay codimension 2 singularities share many common features with isolated complete intersection singularities, but they also exhibit some striking new behaviour.…