V. Vassiliev

works on

critical points 1 morse theory 1 polynomial isotopy 1 real algebraic geometry 1 topological invariants 1

From the 1 of 4 linked papers with an AI index.

most citedComplements of discriminants of real singularities of type

X_{10}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.AG2026

Isotopy classification of Morse polynomials of degree 4 in $R^{2}$

V. A. Vassiliev

The paper defines invariants that classify isotopy classes of real Morse polynomials on the plane, proves they are complete for degrees up to four, enumerates all possible invarian…

math.AG2026★ 1 cited

Complements of discriminants of real singularities of type $X_{10}$

Victor A. Vassiliev

A conjecturally complete list of connected components of complements of discriminant varieties (aka wave fronts) of smooth function singularities of type $X_{10}^{3}$ and $X_{10}^{1}$ …

math.AT2026

Isotopy classification of Morse polynomials of degree 3 in $R^{3}$

V. A. Vassiliev

We enumerate all isotopy classes of degree three Morse polynomials $R^{3} \to R^{1}$ with nonsingular principal homogeneous parts, proving that there are exactly 37…

math.AG2026

Complements of caustics of the real $J_{10}$ singularities

V. A. Vassiliev

The complete list of connected components of the set of Morse functions in the deformations of function singularities of class $J_{10}$ is given. Thus, the isotopy classification o…

Isotopy classification of Morse polynomials of degree 4 in R2

Complements of discriminants of real singularities of type X10​

Isotopy classification of Morse polynomials of degree 3 in R3

Complements of caustics of the real J10​ singularities

Isotopy classification of Morse polynomials of degree 4 in $R^{2}$

Complements of discriminants of real singularities of type $X_{10}$

Isotopy classification of Morse polynomials of degree 3 in $R^{3}$

Complements of caustics of the real $J_{10}$ singularities