4 papers
Excess logarithmic residues for foliations by curves and applications
Alana Cavalcante, MaurÃcio Corrêa, Fernando Lourenço +1
We introduce excess logarithmic residues for one-dimensional holomorphic foliations tangent to a divisor. They arise from the comparison between the logarithmic normal sheaf and th…
Log Baum--Bott Residues for foliations by curves
MaurÃcio Corrêa, Fernando Lourenço, Diogo Machado
We prove a Baum--Bott type residual formula for one-dimensional holomorphic foliations, and logarithmic along free divisors. More precisely, this provides a Baum--Bott theorem for…
Inequalities and enumerative formulas for flags of Pfaff systems
Miguel RodrÃguez Peña, Fernando Lourenço
In this work, we study inequalities and enumerative formulas for flags of Pfaff systems on . More specifically, we find the number of independent Pfaff s…
Split distributions on Grassmann manifolds and smooth quadric hypersurfaces
Alana Cavalcante, Fernando Lourenço
This work is dedicated to studying holomorphic distributions on Grassmann manifolds and smooth quadric hypersurfaces. In special, we prove, under certain conditions, when the tange…