7 citations · 14 across the 9 of their papers we have counts for
9 papers
Asymptotics of the number of lattice triangulations of rectangles of width 4 and 5
Stepan Orevkov
Let be the number of primitive lattice triangulations of an rectangle. We express the limits for and in terms of certain s…
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 …
Seifert forms and slice Euler characteristic of links
S. Yu. Orevkov, V. Florens
We define the Witt coindex of a link with non-trivial Alexander polynomial, as a concordance invariant from the Seifert form. We show that it provides an upper bound for the (local…
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…
Plane algebraic curves in fancy balls
N. G. Kruzhilin, S. Yu. Orevkov
Boileau and Rudolph called a link in the -sphere a -boundary if it can be realized as the intersection of an algebraic curve in with the boundary of a s…
On alternating quasipositive links
Stepan Orevkov
We prove that if a quasipositive link can be represented by an alternating diagram satisfying the condition that no pair of Seifert circles is connected by a single crossing, then…
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…
Algorithmic recognition of quasipositive braids of algebraic length two
Stepan Yu. Orevkov
We give an algorithm to decide if a given braid is a product of two factors which are conjugates of given powers of standard generators of the braid group. The same problem is solv…