24 citations · 47 across the 18 of their papers we have counts for
18 papers
The translation geometry of Pólya's shires
Rikard Bøgvad, Boris Shapiro, Guillaume Tahar +1
In his shire theorem, G. Pólya proves that the zeros of iterated derivatives of a meromorphic function in the complex plane accumulate on the union of edges of the Voronoi diagram…
Rodrigues' descendants of a polynomial and Boutroux curves
Rikard Bøgvad, Christian Hägg, Boris Shapiro
Motivated by the classical Rodrigues' formula, we study the root asymptotic of the polynomial sequence where ${P(…
Generalizing Tran's Conjecture
Rikard Bögvad, Innocent Ndikubwayo, Boris Shapiro
A conjecture of Khang Tran [6] claims that for an arbitrary pair of polynomials and , every zero of every polynomial in the sequence satisfyi…
Decomposition of Perverse Sheaves on Plane Line Arrangements
Rikard Bøgvad, Iara Gonçalves
On the complement to a central plane line arrangement , a locally constant sheaf of complex vect…
Length and decomposition of the cohomology of the complement to a hyperplane arrangement
Rikard Bøgvad, Iara Gonçalves
Let be a hyperplane arrangement in . We show that the number of decomposition factors as a perverse sheaf of the direct image of the co…
A refinement of Pólya's method to construct Voronoi diagrams for rational functions
Rikard Bögvad, Christian Hägg
Given a complex polynomial with zeroes , we show that the asymptotic zero-counting measure of the iterated derivatives , where …