34 citations · 125 across the 47 of their papers we have counts for
4 papers · 1 filter
On maps taking lines to plane curves
Vsevolod Petrushchenko, Vladlen Timorin
We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taki…
Planarizations and maps taking lines to linear webs of conics
Vladlen Timorin
Aiming at a generalization of a classical theorem of Moebius, we study maps that take line intervals to plane curves, and also maps that take line intervals to conics from certain…
Schubert calculus and Gelfand-Zetlin polytopes
Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
We describe a new approach to the Schubert calculus on complete flag varieties using the volume polynomial associated with Gelfand-Zetlin polytopes. This approach allows us to comp…
On polytopes simple in edges
Vladlen Timorin
We investigate some combinatorial properties of convex polytopes simple in edges. For polytopes whose nonsimple vertices are located sufficiently far one from another, we prove an…