71 citations · 116 across the 29 of their papers we have counts for
32 papers
On arrangements of plane real quartics with respect to three lines
S. Yu. Orevkov
We complete the classification of mutual arrangements of a smooth real algebraic or real pseudoholomorphic quartic curve and three lines under condition that each oval of the quart…
Further Bounding the Kreuzer-Skarke Landscape
Nate MacFadden, Stepan Yu. Orevkov, Michael Stepniczka
Batyrev's construction provides a map from fine, regular, star triangulations (FRSTs) of 4D reflexive polytopes to smooth Calabi-Yau threefolds (CYs). We prove that there are at mo…
On curves of degree 10 with 12 triple points
S. Yu. Orevkov
We construct an irreducible rational curve of degree 10 in which has 12 triple points and a union of three rational quartics with 19 triple points. This gives counter-exampl…
On germs of mappings
S. Yu. Orevkov
We describe germs of mappings ramified along a germ of irreducible curve whose image is of the form .
Two-dimensional diffusion orthogonal polynomials ordered by a weighted degree
Stepan Orevkov
We study the following problem: describe the triplets , , where is the (co)metric associated with the symmetric second order differential operato…
Compactification of the space of branched coverings of the two-dimensional sphere
V. I. Zvonilov, S. Yu. Orevkov
For a closed oriented surface we define its degenerations into singular surfaces that are locally homeomorphic to wedges of disks. Let be the set of isomorphism clas…