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… (More)

This work addresses the impact of pH variation on DNA-polyethylenimine (PEI) complex formation, in aqueous solution and at constant ionic strength. An initial potentiometric characterization of the… (More)

We define four different kinds of multiplicity of an invariant algebraic curve for a given polynomial vector field and investigate their relationships. After taking a closer look at the singularities… (More)

We show that the set of singular holomorphic foliations of the projective spaces with split tangent sheaf and with good singular set is open in the space of holomorphic foliations. As applications we… (More)

We investigate the degree of the polar transformations associated to a certain class of multi-valued homogeneous functions. In particular we prove that the degree of the pre-image of generic linear… (More)

We give a classification of pairs (F , φ) where F is a holomorphic foliation on a projective surface and φ is a non-invertible dominant rational map preserving F .

We prove that the height of a foliated surface of Kodaira dimension zero belongs to {1, 2, 3, 4, 5, 6, 8, 10, 12}. We also construct an explicit projective model for Brunella’s very special foliation.

Theorem 1.1. Let M be a compact connected Kähler manifold. Suppose that its tangent bundle TM splits as D⊕L, where D ⊂ TM is a subbundle of codimension one and L ⊂ TM is a subbundle of dimension one.… (More)

We will use flat divisors, and canonically associated singular holomorphic foliations, to investigate some of the geometry of compact complex manifolds. The paper is mainly concerned with three… (More)

We introduce a notion of minimal form for transversely projective structures of singular foliations on complex manifolds. Our first main result says that this minimal form exists and is unique when… (More)