18 citations · 51 across the 30 of their papers we have counts for
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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…
Stratified Picard-Lefschetz Theory with Twisted Coefficients
Victor A. Vassiliev
The monodromy action in the homology (generally with twisted coefficients) of complements of stratified complex analytic varieties depending on parameters is studied. For a wide cl…
How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces
Victor A. Vassiliev
A general method of computing cohomology groups of the space of nonsingular algebraic hypersurfaces of degree in is described. Using this method, rational cohomology gro…
There are no algebraically integrable ovals in even-dimensional spaces
Victor A. Vassiliev
We prove that there are no bounded domains with smooth boundaries in even-dimensional Euclidean spaces, such that the volumes cut off from them by affine hyperplanes depend algebra…