7 citations · 14 across the 9 of their papers we have counts for
4 papers · 1 filter
Separating semigroup of genus 4 curves
S. Yu. Orevkov
A rational function on a real algebraic curve is called separating if it takes real values only at real points. Such a function defines a covering …
On intersection of lemniscates of rational functions
Stepan Orevkov, Fedor Pakovich
For a non-constant complex rational function , the lemniscate of is defined as the set of points such that . The lemniscate of coinc…
Complete bipartite graphs flexible in the plane
M. D. Kovalev, S. Yu. Orevkov
A complete bipartite graph , considered as a planar linkage with joints at the vertices and with rods as edges, in general admits only motions as a whole, i.e., is inflexi…
On the hyperbolicity locus of a real curve
Stepan Orevkov
Given a real algebraic curve in the projective 3-space, its hyperbolicity locus is the set of lines with respect to which the curve is hyperbolic. We give an example of a smooth ir…