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math.AG2026
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…
math.AG2026
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…
math.AG2026
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…