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On the sectional irregularity of congruences.

Ignacio Sols; Luis Giraldo — 1996

Manuscripta mathematica

The irregularity of ruled surfaces in three dimensional projective space.

Luis Giraldo; Ignacio Sols — 1998

Collectanea Mathematica

Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.

Vector fields from locally invertible polynomial maps in ℂⁿ

Alvaro Bustinduy; Luis Giraldo; Jesús Muciño-Raymundo — 2015

Colloquium Mathematicae

Let (F₁,..., Fₙ): ℂⁿ → ℂⁿ be a locally invertible polynomial map. We consider the canonical pull-back vector fields under this map, denoted by ∂/∂F₁,...,∂/∂Fₙ. Our main result is the following: if n-1 of the vector fields $\partial / \partial F_{j}$ have complete holomorphic flows along the typical fibers of the submersion $(F ₁, . . ., F_{j - 1}, F_{j + 1}, . . ., F ₙ)$ , then the inverse map exists. Several equivalent versions of this main hypothesis are given.

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Currently displaying 1 – 3 of 3

On the sectional irregularity of congruences.

The irregularity of ruled surfaces in three dimensional projective space.

Vector fields from locally invertible polynomial maps in ℂⁿ