14 citations · 36 across the 16 of their papers we have counts for
20 papers
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…
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…
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…
Quadratic residue patterns and point counting on K3 surfaces
Valentina Kiritchenko, Mikhail Tsfasman, Serge Vladuts +1
Quadratic residue patterns modulo a prime are studied since 19th century. We state the last unpublished result of Lydia Goncharova, reformulate it and prior results in terms of alg…
Simple geometric mitosis
Valentina Kiritchenko
We construct simple geometric operations on faces of the Cayley sum of two polytopes. These operations can be thought of as convex geometric counterparts of divided difference oper…
Push-pull operators on convex polytopes
Valentina Kiritchenko
A classical result of Schubert calculus is an inductive description of Schubert cycles using divided difference (or push-pull) operators in Chow rings. We define convex geometric a…