3 papers
math.AG2026
Excess logarithmic residues for foliations by curves and applications
Alana Cavalcante, Maurício 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…
math.AG2025
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…
math.AG2024
Log Baum--Bott Residues for foliations by curves
Maurício 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…