6 papers · 1 filter
Transversal unfoldings of derived foliations
Maurício Corrêa
We establish a homotopy-invariant theory of transversal unfoldings of relative derived foliations. A transversal unfolding is an integrable lift of the parameter directions to infi…
A Poisson--Poincaré--Dulac for Poisson Connections
Maurício Corrêa, Miguel Rodríguez Peña
We study Poisson-flat connections with logarithmic poles along a simple normal crossings divisor on a holomorphic Poisson manifold, where flatness is required only along the symple…
A lower bound for the Milnor number of vector fields
Maurício Corrêa, Gilcione Nonato Costa, Alejandra Salamanca Russi
We study holomorphic vector fields whose singular locus contains a smooth positive-dimensional local complete-intersection component. We obtain an exact global formula for its Miln…
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…
A higher-dimensional Van den Essen type formula for projective foliations and applications
Maurício Corrêa, Gilcione Nonato Costa
Let be a one-dimensional holomorphic foliation on such that , where is a smooth complete intersection variety. We determine and compute the…
Moduli, Deformations and Algebraic K-Theory of Graded PI-Algebras
Lucio Centrone, Maurício Corrêa
Over a field of characteristic zero, for a finite grading group and a finitely generated graded -ideal, we construct relatively free sheaves and finite-rank quotient stacks of a…