16 citations · 30 across the 14 of their papers we have counts for
14 papers
A few problems on monodromy and discriminants
V. A. Vassiliev
A problem list in singularity theory. Most of these problems are related with the algorithmic enumeration of possible topological types of non-discriminant Morsifications of real f…
Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in
Victor A. Vassiliev
The naturally topologized order complex of proper algebraic subsets in , defined by systems of quadratic forms, has rational homology of
Homology of spaces of non-resultant polynomial systems in R^2 and C^2
V. A. Vassiliev
The resultant veriety in the space of systems of homogeneous polynomials of given degrees consists of such systems having non-trivial solutions. We calculate the integer cohomology…
Complexes of connected graphs
V. A. Vassiliev
Graphs with given k vertices generate an (acyclic) simplicial complex. We describe the homology of its quotient complex, formed by all connected graphs, and demonstrate its applica…
Monodromy of complete intersections and surface potentials
Victor A. Vassiliev
Following Newton, Ivory and Arnold, we study the Newtonian potentials of algebraic hypersurfaces in . The ramification of (analytic continuations of) these potential depends o…
On -neighborly submanifolds in
Victor A. Vassiliev
A submanifold is -neighborly if for any points in there is a hyperplane, supporting and touching it at exactly these points. We prove that the mi…