Jorge Vitório Pereira

Completely reducible hypersurfaces in a pencil

Abstract We study completely reducible fibers of pencils of hypersurfaces on P n and associated codimension one foliations of P n . Using methods from theory of foliations we obtain certain upper bounds for the number of these fibers as functions only of n . Equivalently this gives upper bounds for the dimensions of resonance varieties of hyperplane arrangements. We obtain similar bounds for the dimensions of the characteristic varieties of the arrangement complements.

Singular foliations with trivial canonical class

This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.

On the Poincaré problem for foliations of general type

Abstract. Let

Hilbert modular foliations on the projective plane

\mathcal{F}

STABILITY OF HOLOMORPHIC FOLIATIONS WITH SPLIT TANGENT SHEAF

be a holomorphic foliation of general type on

TRANSVERSELY PROJECTIVE FOLIATIONS ON SURFACES: EXISTENCE OF MINIMAL FORM AND PRESCRIPTION OF MONODROMY

\mathbb{P}^2

Algebraic Reduction Theorem for complex codimension one singular foliations

which admits a rational first integral. We provide bounds for the degree of the first integral of

Global Stability for Holomorphic Foliations on Kaehler Manifolds

\mathcal{F}

The Classification of Exceptional CDQL Webs on Compact Complex Surfaces

just in function of the degree and the birational invariants of

On the degree of polar transformations. An approach through logarithmic foliations

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