5 papers
A version of Kapranov's Chow quotient and smooth moduli space of point configurations in $\PP^2$
Lev Radzivilovsky
A new moduli space for configurations of ordered points in a projective plane, which is a version of Kapranov's "Chow quotient of Grassmanians" is introduced. The new construct…
Counting Surfaces Singular Along a Line in
Shachar Carmeli, Lev Radzivilovsky
We enumerate the number of surfaces of degree in having a singular line of order , passing through generic points (where is the dimension of moduli space of su…
Concerning the bookshelf problem
Lev Radzivilovsky, Grigori Yurgin
We discuss the following folklore problem. On a bookshelf, there are tomes of the Encyclopedia in random order. Each hour, a librarian takes a tome which stands not on its plac…
Rational curves on the compactified moduli space of rational curves with marked points
Shachar Carmeli, Lev Radzivilovsky
We investigate the possible homological classes of rational curves on the moduli space of rational nodal curves with marked points. In the case of…
Dissecting brick into bars
Ivan Feshchenko, Danylo Radchenko, Lev Radzivilovsky +1
An -dimensional parallelepiped will be called a bar if and only if there are no more than different numbers among the lengths of its sides (the definition of bar depends on…