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20092022
most citedCodimension one holomorphic distributions on the projective three-space

23 citations · 201 across the 39 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

math.AG2018★ 11 cited

On holomorphic distributions on Fano threefolds

Alana Cavalcante, Mauricio Corrêa, Simone Marchesi

This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds threedimensional…

math.AG2018

Codimension one distributions and stable rank 2 reflexive sheaves on threefolds

Omegar Calvo-Andrade, Maurício Corrêa, Marcos Jardim

We show that codimension one distributions with at most isolated singularities on certain smooth projective threefolds with Picard rank one have stable tangent sheaves. The ideas i…

math.AG2018★ 2 cited

Global residue formula for logarithmic indices of foliations

Maurício Corrêa, Diogo da Silva Machado

We prove a global residual formula in terms of logarithmic indices for one-dimensional holomorphic foliations, with isolated singularities, and logarithmic along normal crossing di…

math.AG2018★ 1 cited

On Gauss-Bonnet and Poincaré-Hopf type theorems for complex -manifolds

Maurício Corrêa, Fernando Lourenço, Diogo Machado +1

We prove a Gauss-Bonnet and Poincaré-Hopf type theorems for complex -manifold , where is a complex compact manifold and is a reduced divisor. W…

math.AG2018

Residues for maps generically transverse to distributions

Leonardo Câmara, Maurício Corrêa

We show a residues formula for maps generically transversal to regular holomorphic distributions.

math.AG2018

A singular Darboux type theorem and non-integrable projective distributions of degree one

Maurício Corrêa, Vinícius Soares dos Reis

We prove a singular Darboux type theorem for homogeneous polynomial closed -forms of degree one on . As application, we classify non-integrable codimension one dis…