13 citations · 26 across the 15 of their papers we have counts for
16 papers
Foliations with small singular set in arbitrary characteristic
Thiago Fassarella, Wodson Mendson, João Pedro dos Santos +1
This paper investigates the geometry of foliations on smooth algebraic varieties over an algebraically closed field of arbitrary characteristic . We address several specif…
Moduli of Higgs bundles over the two punctured elliptic curve
Thiago Fassarella, Frank Loray
We study moduli spaces of Higgs bundles with two poles on an elliptic curve. We describe all singular fibers of the Hitchin map, including the nilpotent cone. To achieve this, we c…
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…
Moduli of Higgs bundles over the five punctured sphere
Thiago Fassarella, Frank Loray
We look at rank two parabolic Higgs bundles over the projective line minus five points which are semistable with respect to a weight vector . The moduli space correspo…
Hitchin fibration under ramified coverings
Thiago Fassarella, Frank Loray
We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. Given a degree two map $π…
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…