Non trivial examples of coupled equations for K\"ahler metrics and Yang-Mills connections

We provide non trivial examples of solutions to the system of coupled equations introduced by M. Garc\'ia-Fern\'andez for the uniformization problem of a triple $(M,L,E)$ where $E$ is a holomorphic vector bundle over a polarized complex manifold $(M,L)$, generalizing the notions of both constant scalar curvature K\"ahler metric and Hermitian-Einstein metric.Comment: 17 page

Infinite dimensional mixed economies with asymmetric information

In this paper, we study asymmetric information economies consisting of both non-negligible and negligible agents and having ordered Banach spaces as their commodity spaces. In answering a question of Herv\'{e}s-Beloso and Moreno-Garc\'{i}a, we establish a characterization of Walrasian expectations allocations by the veto power of the grand coalition. It is also shown that when an economy contains only negligible agents a Vind's type theorem on the private core with the exact feasibility can be restored. This solves a problem of Pesce.Comment: 23 page

Dos especies de garrapatas del g\ue9nero Amblyomma (Acari: Ixodidae) en perros del estado Aragua, Venezuela

Manzanilla J, Garc\ueda ME, Moissant E, Garc\ueda FA, Tortolero E. 2002. Two species of ticks of the genus Amblyomma (Acari: Ixodidae) on dogs of the Aragua state, Venezuela. Entomotropica 17(2):177-180. The first report of Amblyomma maculatum and A. parvum collected from Rottweiler and crossbred dogs, in Aragua state are presented. This is the first report of A. parvum on dogs in Venezuela.Manzanilla J, Garc\ueda ME, Moissant E, Garc\ueda FA, Tortolero E. 2002. Dos especies de garrapatas del g\ue9nero Amblyomma (Acari: Ixodidae) en perros del estado Aragua, Venezuela. Entomotropica 17(2):177-180. Se presenta el primer registro de Amblyomma maculatum y A. parvum para el estado Aragua, sobre perros de la raza Rottweiler y mestizo respectivamente. Es el primer registro de A. parvum sobre caninos en Venezuel

Explicit lower and upper bounds on the entangled value of multiplayer XOR games

XOR games are the simplest model in which the nonlocal properties of entanglement manifest themselves. When there are two players, it is well known that the bias --- the maximum advantage over random play --- of entangled players can be at most a constant times greater than that of classical players. Recently, P\'{e}rez-Garc\'{i}a et al. [Comm. Math. Phys. 279 (2), 2008] showed that no such bound holds when there are three or more players: the advantage of entangled players over classical players can become unbounded, and scale with the number of questions in the game. Their proof relies on non-trivial results from operator space theory, and gives a non-explicit existence proof, leading to a game with a very large number of questions and only a loose control over the local dimension of the players' shared entanglement. We give a new, simple and explicit (though still probabilistic) construction of a family of three-player XOR games which achieve a large quantum-classical gap (QC-gap). This QC-gap is exponentially larger than the one given by P\'{e}rez-Garc\'{i}a et. al. in terms of the size of the game, achieving a QC-gap of order $\sqrt{N}$ with $N^2$ questions per player. In terms of the dimension of the entangled state required, we achieve the same (optimal) QC-gap of $\sqrt{N}$ for a state of local dimension $N$ per player. Moreover, the optimal entangled strategy is very simple, involving observables defined by tensor products of the Pauli matrices. Additionally, we give the first upper bound on the maximal QC-gap in terms of the number of questions per player, showing that our construction is only quadratically off in that respect. Our results rely on probabilistic estimates on the norm of random matrices and higher-order tensors which may be of independent interest.Comment: Major improvements in presentation; results identica

Keratinocytes from human skin respond as typical immune cells after the stimulation with _Trichophyton rubrum_

_Trichophyton rubrum_ is the main agent causing dermatophytosis (1). Keratinocytes are
considered to be the first physical barrier of defense against pathogens (2). But not
only a physical barrier. They recognize antigens through Toll like receptors (TLR) (3).
The activation of this TLR, present on the surface of the keratinocytes, induce the
expression of different pro-inflammatory cytokines, co-stimulatory molecules and
antimicrobial peptides such as [beta]-defensins (4).
The main objective of this work is to determine if lipopolysaccharides of G – bacteria
(LPS), lipotheichoic acid from G+ bacteria (LTA), and conidias, isolated from _T. rubrum_
were able to activate the expression of TLR2 and TLR6 on the cell surface of a primary
culture of human keratinocytes through Flow cytometry. Furthermore we are looking for
the presence of [beta]-defensins 1 and 2, IL-1b and IL-8 in the supernatant, of the above
mentioned culture of cells, by Western blot.
From the flow cytometry data, the preliminary results showed an important dispersion
in terms of proliferation, increase in size and granularity of keratinocytes, from primary
cultures of skin from healthy donors, stimulated 6 hours with conidias of _T. rubrum_, and
LTA, but not when non stimulated, or stimulated with LPS (Fig 1).
When keratinocytes from primary cultures of skin from healthy donors were cultivated
48 hours, it was found dispersion in terms of proliferation, increase in size and
granularity when stimulated with conidias of _T. rubrum_, and LPS but not when non
stimulated, or stimulated with LTA (Fig 2).
The keratinocytes expressed increased levels of TLR2 and TLR6 when were
stimulated with LTA and less to _T. rubrum_, in the 6 hours cultures, but this last cells still
showed increased size (Fig 3).
The Keratinocytes expressed increased levels of TLR2 in the 48 hours cultures when
were stimulated with LPS and _T. rubrum_.(Fig 4)
Besides, [beta]-defensin-2 was detected in the supernatant of cultures of keratinocytes
stimulated with LPS (Fig 5).
It can preliminary be concluded that keratinocytes from primary cultures of human skin from healthy donors, are cells that respond as typical immune cells, after stimulation
with _T. rubrum_, LTA and LPS in different conditions, and that this mechanism may be
very important, for the protection of local environment. 

References
1.- Arenas R., Dermatofitosis en México. Rev Iberoam Micol 2002; 19: 63-67.
2.- Kupper T. and Fuhlbrigge R. Immune surveillance in the skin: mechanims and clinical consecuences.
Nat Rev Immunol 2004; 4: 211-222
3.- Kôllish G., Naderi B., Voelcker V., Wallich R., Behrendt H., Ring J., Bauer S., Jacob T., Mempel M. and
Olelrt M. Various members of the Toll-Like receptor family contribute to the innate immune response of
human epidermal keratinocytes. Immunology 2005; 114: 531-541.
4.- Akira, S. and Takeda K. 2004. Toll-like Receptor Signalling. Nature Reviews Immunology 4:499-511

Locally projective monoidal model structure for complexes of quasi-coherent sheaves on P^1(k)

We will generalize the projective model structure in the category of unbounded complexes of modules over a commutative ring to the category of unbounded complexes of quasi-coherent sheaves over the projective line. Concretely we will define a locally projective model structure in the category of complexes of quasi-coherent sheaves on the projective line. In this model structure the cofibrant objects are the dg-locally projective complexes. We also describe the fibrations of this model structure and show that the model structure is monoidal. We point out that this model structure is necessarily different from other known model structures such as the injective model structure and the locally free model structure

La nuova disciplina del lavoro a tempo parziale e del lavoro a termine in Spagna

Nota al testo della legge. SOMMARIO: 1. Nota introduttiva di Carmen Agut Garc\ueda e Michele Tiraboschi. \u2013 2. Allegato. Real Decreto Ley n. 5/2001 del 2 marzo 2001, de 2 de marzo, de medidas urgentes de reforma del mercado de trabajo para el incremento del empleo y la mejora de su calidad