57 citations · 275 across the 73 of their papers we have counts for
7 papers · 1 filter
Secant degeneracy index of the standard strata in the space of binary forms
Gleb Nenashev, Boris Shapiro, Michael Shapiro
The space $Pol_d\simeq \bC P^d$ of all complex-valued binary forms of degree (considered up to a constant factor) has a standard stratification, each stratum of which contains…
Level functions of quadratic differentials, signed measures, and the Strebel property
Yuliy Baryshnikov, Boris Shapiro
In this paper, motivated by the classical notion of a Strebel qua- dratic differential on a compact Riemann surface without boundary, we in- troduce several classes of quadratic di…
Asymptotics and monodromy of the algebraic spectrum of quasi-exactly solvable sextic oscillator
Boris Shapiro, Milos Tater
Below we study theoretically and numerically the asymptotics of the algebraic part of the spectrum for the quasi-exactly solvable sextic potential, its level crossing points, and i…
Topological classification of generic real meromorphic functions
Antonio F. Costa, Sergey M. Natanzon, Boris Shapiro
In this article, to each generic real meromorphic function (i.e., having only simple branch points in the appropriate sense) we associate a certain combinatorial gadget which we ca…
On Hurwitz--Severi numbers
Yurii Burman, Boris Shapiro
For a point and a triple of non-negative integers we define a {\em Hurwitz--Severi number} as the number of generic irreducible…
"K-theoretic" analog of Postnikov-Shapiro algebra distinguishes graphs
G. Nenashev, B. Shapiro
In this paper we study a filtered "K-theoretical" analog of a graded algebra associated to any loopless graph G which was introduced in \cite{PS}. We show that two such filtered al…