V. A. Vassiliev

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20142023

most citedHow to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces

16 citations · 29 across the 15 of their papers we have counts for

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math.AT2015★ 1 cited

Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $R^{3}$

Victor A. Vassiliev

The naturally topologized order complex of proper algebraic subsets in $R P^{2}$ , defined by systems of quadratic forms, has rational homology of $S^{13}$

math.AT2014★ 1 cited

Spaces of Hermitian operators with simple spectra and their finite-order cohomology

Victor A. Vassiliev

The topology of spaces of Hermitian operators in $C^{n}$ with non-simple spectra was studied by V.Arnold in a relation with the theory of adiabatic connections and the quantum Hall e…

math.AT2014★ 3 cited

Homology of spaces of homogeneous polynomials in $R^{2}$ without multiple zeros

Victor A. Vassiliev

For any natural $d \geq k \geq 2$ we calculate the cohomology groups of the space of homogeneous polynomials $R^{2} \to R$ of degree $d$ , which do not vanish with multiplicity $\geq k$ …

Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in R3

Spaces of Hermitian operators with simple spectra and their finite-order cohomology

Homology of spaces of homogeneous polynomials in R2 without multiple zeros

Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in $R^{3}$

Homology of spaces of homogeneous polynomials in $R^{2}$ without multiple zeros