3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2025
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…