3 citations · 5 across the 5 of their papers we have counts for
5 papers
Families of skew-symmetric matrices of even size
J. W. Bruce, V. V. Goryunov, G. J. Haslinger
The main result of the paper is a classification of singularities of complex skew-symmetric matrix families of even size which are simple under a natural equivalence relation. The…
Vanishing cycles of matrix singularities
Victor Goryunov
The paper is on the vanishing topology of singular Milnor fibres of holomorphic families of arbitrary square, symmetric and skew-symmetric matrices with sufficiently many parameter…
Automorphisms of singularities and the complex crystallographic groups
Victor Goryunov, Dmitry Kerner
The paper completes the study of symmetries of parabolic function singularities with relation to complex crystallographic groups that was started in \cite{GM,X9}. We classify smoot…
Tjurina and Milnor numbers of matrix singularities
Victor Goryunov, David Mond
In order to understand the deformations of determinants and Pfaffians resulting from deformations of matrices, we study the deformation theory of composites , with isolat…
Functions on space curves
Victor Goryunov
We classify simple singularities of functions on space curves. We show that their bifurcation sets have properties very similar to those of functions on smooth manifolds and comple…