3 papers
math.MG2026
A convex polyhedron without Rupert's property
Jakob Steininger, Sergey Yurkevich
A three-dimensional convex body is said to have Rupert's property if its copy can be passed through a straight hole inside that body. In this work we construct a polyhedron which i…
math.CO2024
Systems of Discrete Differential Equations, Constructive Algebraicity of the Solutions
Hadrien Notarantonio, Sergey Yurkevich
In this article, we study systems of , not necessarily linear, discrete differential equations (DDEs) of order with one catalytic variable. We provide a constr…
math.DG2024
Isoperimetric Ratios of Toroidal Dupin Cyclides
Alin Bostan, Thomas Yu, Sergey Yurkevich
The combination of recent results due to Yu and Chen [Proc. AMS 150(4), 2020, 1749-1765] and to Bostan and Yurkevich [Proc. AMS 150(5), 2022, 2131-2136] shows that the 3-D Euclidea…