Currently displaying 1 – 5 of 5

Showing per page

Order by Relevance | Title | Year of publication

Finding the principal points of a random variable

Emilio Carrizosa;  E. Conde;  A. Castaño;  D. Romero-Morales — 2001

RAIRO - Operations Research - Recherche Opérationnelle

The p -principal points of a random variable X with finite second moment are those p points in ℝ minimizing the expected squared distance from X to the closest point. Although the determination of principal points involves in general the resolution of a multiextremal optimization problem, existing procedures in the literature provide just a local optimum. In this paper we show that standard Global Optimization techniques can be applied.

Finding the principal points of a random variable

Emilio Carrizosa;  E. Conde;  A. Castaño;  D. Romero–Morales — 2010

RAIRO - Operations Research

The -principal points of a random variable with finite second moment are those points in ℝ minimizing the expected squared distance from to the closest point. Although the determination of principal points involves in general the resolution of a multiextremal optimization problem, existing procedures in the literature provide just a local optimum. In this paper we show that standard Global Optimization techniques can be applied.

Maximal rationally connected fibrations and movable curves

Luis E. Solá Conde;  Matei Toma — 2009

Annales de l’institut Fourier

A well known result of Miyaoka asserts that a complex projective manifold is uniruled if its cotangent bundle restricted to a general complete intersection curve is not nef. Using the Harder-Narasimhan filtration of the tangent bundle, it can moreover be shown that the choice of such a curve gives rise to a rationally connected foliation of the manifold. In this note we show that, conversely, a movable curve can be found so that the maximal rationally connected fibration of the manifold may be recovered...

A classification theorem on Fano bundles

Roberto Muñoz;  Luis E. Solá Conde;  Gianluca Occhetta — 2014

Annales de l’institut Fourier

In this paper we classify rank two Fano bundles ℰ on Fano manifolds satisfying H 2 ( X , ℤ ) ≅ H 4 ( X , ℤ ) ≅ ℤ . The classification is obtained via the computation of the nef and pseudoeffective cones of the projectivization ℙ ( ℰ ) , that allows us to obtain the cohomological invariants of X and ℰ . As a by-product we discuss Fano bundles associated to congruences of lines, showing that their varieties of minimal rational tangents may have several linear components.

Page 1

Download Results (CSV)