2 citations · 4 across the 9 of their papers we have counts for
9 papers
Complements of discriminants of real parabolic function singularities. II
V. A. Vassiliev
We list all connected components of sets of non-discriminant functions near all {\em parabolic} function singularities (which are the second most important family of singularity cl…
Complements of caustics of the real singularities
V. A. Vassiliev
The complete list of connected components of the set of Morse functions in the deformations of function singularities of class is given. Thus, the isotopy classification o…
Isotopy classification of Morse polynomials of degree 3 in
V. A. Vassiliev
We enumerate all isotopy classes of degree three Morse polynomials with nonsingular principal homogeneous parts, proving that there are exactly 37…
Isotopy classification of Morse polynomials of degree 4 in
V. A. Vassiliev
We introduce a system of invariants of isotopy classes of Morse polynomials , prove its completeness for polynomials of degrees , calculate…
Complements of discriminants of real singularities of type
Victor A. Vassiliev
A conjecturally complete list of connected components of complements of discriminant varieties (aka wave fronts) of smooth function singularities of type and …
Complements of discriminants of simple real function singularities
V. A. Vassiliev
All components of complements of discriminant varieties of simple real function singularities are explicitly listed. New invariants of such components (for not necessarily simple s…
Cohomology of spaces of Hopf equivariant maps of spheres
V. A. Vassiliev
For any natural numbers , the rational cohomology ring of the space of continuous maps (respectively, ) equivariant under t…
Local Petrovskii lacunas at parabolic singular points of wavefronts of strictly hyperbolic PDE's
Victor A. Vassiliev
We enumerate the local Petrovskii lacunas (that is, the domains of local regularity of the principal fundamental solutions) of strictly hyperbolic PDE's with constant coefficients…
Stratified Picard--Lefschetz theory
Victor Vassiliev
The monodromy action in the homology of level sets of Morse functions on stratified singular analytic varieties is studied. The local variation operators in both the standard and t…