7 papers
Formal moduli and the splitting theory of supermanifolds
Mauricio Corrêa, Simone Noja
We develop a formal moduli theory for the splitting problem of complex supermanifolds. Starting from Green's obstruction tower, we construct a finite-step filtered dg Lie algebra w…
The logarithmic leaf complex and foliated d-semistability
Mauricio Corrêa, Pablo Perrella, Sebastián Velazquez
We study holomorphic foliations on normal crossings varieties arising as semistable degenerations. We do so by we exploring the notion of foliated d-semistability using the languag…
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…
Log Bott localization with non-isolated lci zero varieties
Maurício Corrêa, Elaheh Shahsavaripour
We establish a logarithmic Bott localization formula for global holomorphic sections of on a compact complex manifold with simple normal crossings divisor . T…
A Čech--Stokes Pushout Groupoid: a Log/Kummer Betti Presenter for Stokes Torsors
Mauricio Corrêa
We give an explicit Betti presentation of the Stokes torsors attached to meromorphic flat connections of prescribed irregular type along a simple normal crossings divisor, at fixed…
On the connectedness of the singular set of holomorphic foliations
Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim +1
Let be a singular holomorphic foliation of dimension on a projective -manifold . Assume that the determinant of the normal sheaf of is ample…