13 citations · 17 across the 6 of their papers we have counts for
7 papers
Hyperplane arrangements and the Gauss map of a pencil
Thiago Fassarella, Nivaldo Medeiros
We show that the coefficients of the characteristic polynomial of a central hyperplane arrangement , coincide with the multidegrees of the Gauss map of a pencil of hype…
Monomial Cremona transformations and toric polar maps
Thiago Fassarella, Nivaldo Medeiros
Given a birational map in the three dimensional projective space defined by monomials of degree , we prove that its inverse is defined by monomials of degree at most .
Toric polar maps and characteristic classes
Thiago Fassarella, Nivaldo Medeiros, Rodrigo Salomão
Given a hypersurface in a complex projective space, we prove that the multidegrees of its toric polar map agree, up to sign, with the coefficients of the Chern-Schwartz-MacPherson…
Limits of dual curves via foliations
Eduardo Esteves, Nivaldo Medeiros, Wallace Sousa
We develop a method to compute limits of dual plane curves in Zeuthen families of any kind. More precisely, we compute the limit 0-cycle of the ramification scheme of a general lin…
On the polar degree of projective hypersurfaces
Thiago Fassarella, Nivaldo Medeiros
Given a hypersurface in the complex projective -space we prove several known formulas for the degree of its polar map by purely algebro-geometric methods. Furthermore, we give f…
Limit canonical systems on curves with two components
Eduardo Esteves, Nivaldo Medeiros
In the 80's D. Eisenbud and J. Harris considered the following problem: ``What are the limits of Weierstrass points in families of curves degenerating to stable curves?'' But for t…