3 papers
math.MG2026
Polynomial valuations on plane polygons
Askold Khovanskii, Valentina Kiritchenko, Vladlen Timorin
Scissors congruence problems involving translations have prompted the study of translation invariant simple valuations. We review this classical theory from a naive and consistent…
math.CO2026
Valuations on polyhedra and topological arrangements
Askold Khovanskii, Valentina Kiritchenko, Vladlen Timorin
We revisit a classical theme of (general or translation invariant) valuations on convex polyhedra. Our setting generalizes the classical one, in a ``dual'' direction to previously…
math.AG2024
Quadratic residue patterns, algebraic curves and a K3 surface
Valentina Kiritchenko, Michael Tsfasman, Serge Vladuts +1
Quadratic residue patterns modulo a prime are studied since 19th century. In the first part we extend existing results on the number of consecutive -tuples of quadratic resid…