Mixed Hodge structures and vector bundles on the projective Plane I

We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this correspondence and apply it to define stratifications of the bases of the variations of mixed Hodge structure.

Implantação do mixoma infeccioso do coelho na câmara anterior do ôlho da cobaia

Mammalian cancer as well as the Rous chicken sarcoma has been successfully transplanted into the anterior chamber of the eyes of guinea pigs. It was of interest, therefore, to see if the infectious myxomatosis of rabbits, another representative of the infectious tumors, could be grown in the anterior chamber of the guinea pig eye, and, if growth occurred, to compare the tumor's behaviour with that of growths of the above mentioned etiology. Forty-three full-grown guinea pigs from mixed stocks were used throughout, and seventy-eight heterologous transplantation experiments were performed. The grafts measuring less than 2 mm. in diameter were cut from the subcutaneous tissue in skin lesions of rabbits with infectious myxomatosis recently killed. The transfer to the anterior chamber was performed after the usual technique. Some degree of partial survival was found in 23,8% of the grafts, in which typical myxoma cells could be demonstrated fifteen days after the transplantation. The transplant apparently does not increase in size, differing in that respect from that of the Rous chicken sarcoma, which increases in size by 2 or 3 diameters in 2 weeks (Shrigley, Greene & Duran-Reynals, 1945). The virus was still alive in 26% of the grafts 21 days after transplantation, and was able to induce a typical disease when injected to normal rabbits. No alteration in the properties of the virus after growth in the guinea pig was noticed, and this also is different from what happens with the Rous chicken sarcoma.

Elicited bid functions in (a)symmetric first-price auctions

We report on a series of experiments that examine bidding behavior in first-price sealed bid auctions with symmetric and asymmetric bidders. To study the extent of strategic behavior, we use an experimental design that elicits bidders' complete bid functions in each round (auction) of the experiment. In the aggregate, behavior is consistent with the basic equilibrium predictions for risk neutral or homogenous risk averse bidders (extent of bid shading, average seller's revenues and deviations from equilibrium). However, when we look at the extent of best reply behavior and the shape of bid functions, we find that individual behavior is not in line with the received equilibrium models, although it exhibits strategic sophistication.

Increasing quasiconcave production and utility functions with diminishing returns to scale

In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator functions in production and consumer theory. In particular representation theorems for direct and indirect aggregator functions are obtained. These involve only small sets of generator functions. The study is carried out in the contemporary framework of abstract convexity and abstract concavity.

An Atkinson-Gini family of social evaluation functions

We investigate the properties of a family of social evaluation functions and inequality indices which merge the features of the family of Atkinson (1970) and S-Gini (Donaldson and Weymark (1980, 1983), Yitzhaki (1983) and Kakwani (1980)) indices. Income inequality aversion is captured by decreasing marginal utilities, and aversion to rank inequality is captured by rank-dependent ethical weights, thus providing an ethically-flexible dual basis for the assessment of inequality and equity. These ocial evaluation functions can be interpreted as average utility corrected for the illfare of relative deprivation. They can alternatively be understood as averages of altruistic well-being in a population. They moreover have a simple graphical interpretation.

Self-selection consistent functions

This paper studies collective choice rules whose outcomes consist of a collection of simultaneous decisions, each one of which is the only concern of some group of individuals in society. The need for such rules arises in different contexts, including the establishment of jurisdictions, the location of multiple public facilities, or the election of representative committees. We define a notion of allocation consistency requiring that each partial aspect of the global decision taken by society as a whole should be ratified by the group of agents who are directly concerned with this particular aspect. We investigate the possibility of designing envy-free allocation consistent rules, we also explore whether such rules may also respect the Condorcet criterion.

Optimal regulation of specialized medical care in a mixed system

We study the optimal public intervention in setting minimum standards of formation for specialized medical care. The abilities the physicians obtain by means of their training allow them to improve their performance as providers of cure and earn some monopoly rents.. Our aim is to characterize the most efficient regulation in this field taking into account different regulatory frameworks. We find that the existing situation in some countries, in which the amount of specialization is controlled, and the costs of this process of specialization are publicly financed, can be supported as the best possible intervention.

Cubic spline population density functions and subcentre delimitation. The case of Barcelona

The presence of subcentres cannot be captured by an exponential function. Cubic spline functions seem more appropriate to depict the polycentricity pattern of modern urban systems. Using data from Barcelona Metropolitan Region, two possible population subcentre delimitation procedures are discussed. One, taking an estimated derivative equal to zero, the other, a density gradient equal to zero. It is argued that, in using a cubic spline function, a delimitation strategy based on derivatives is more appropriate than one based on gradients because the estimated density can be negative in sections with very low densities and few observations, leading to sudden changes in estimated gradients. It is also argued that using as a criteria for subcentre delimitation a second derivative with value zero allow us to capture a more restricted subcentre area than using as a criteria a first derivative zero. This methodology can also be used for intermediate ring delimitation.

The mean dehn functions of Abelian groups

"Vegeu el resum a l'inici del document del fitxer adjunt."

The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-Algebras

We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C¤-algebras. In particular, our results apply to the largest class of simple C¤-algebras for which K-theoretic classification can be hoped for. This work has three significant consequences. First, it provides new conceptual insight into Elliott's classification program, proving that the usual form of the Elliott conjecture is equivalent, among Z-stable algebras, to a conjecture which is in general substantially weaker and for which there are no known counterexamples. Second and third, it resolves, for the class of algebras above, two conjectures of Blackadar and Handelman concerning the basic structure of dimension functions on C¤-algebras. We also prove in passing that the Kuntz-Pedersen semigroup is recovered functorially from the Elliott invariant for all simple unital C¤-algebras of interest.

Pure motives, mixed motives and extensions of motives associated to singular surfaces

We first recall the construction of the Chow motive modelling intersection cohomology of a proper surface X and study its fundamental properties. Using Voevodsky's category of effective geometrical motives, we then study the motive of the exceptional divisor D in a non-singular blow-up of X. If all geometric irreducible components of D are of genus zero, then Voevodsky's formalism allows us to construct certain one-extensions of Chow motives, as canonical subquotients of the motive with compact support of the smooth part of X. Specializing to Hilbert-Blumenthal surfaces, we recover a motivic interpretation of a recent construction of A. Caspar.

Calibration of CES functions for real-world multisectoral modeling

We show how to calibrate CES production and utility functions when indirect taxation affecting inputs and consumption is present. These calibrated functions can then be used in computable general equilibrium models. Taxation modifies the standard calibration procedures since any taxed good has two associated prices and a choice of reference value units has to be made. We also provide an example of computer code to solve the calibration of CES utilities under two alternate normalizations. To our knowledge, this paper fills a methodological gap in the CGE literature.

Trypanosoma cruzi: strain selection by diferent schedules of mouse passage of an initially mixed infection

From an initial double infection in mice, established by simultaneous and equivalent inocula of bloodstream forms of strains Y and F of Trypanosoma cruzi, two lines were derived by subinoculations: one (W) passaged every week, the other (M) every month. Through biological and biochemical methods only the Y strain was identified at the end of the 10th and 16th passages of line W and only the F strain at the 2nd and 4th passages of line M. The results illustrate strain selection through laboratory manipulation of initially mixed populations of T. cruzi.

Un diàleg de sords: intentant donar sentit al debat sobre la publicació electrònica

Aquest article se centra en les implicacions de la difusió electrònica per al sistema de publicació de revistes basat en la revisió per parells [peer-reviewed]. Per donar sentit a un assumpte tan complex, és de molt ajut mirar-s'ho des de la perspectiva dels orígens del sistema i de les seves tres funcions nuclears: el rànquing en la recerca, facilitar la comunicació interactiva entre els estudiosos i crear un arxiu global del coneixement científic. Cadascuna d’aquestes funcions principals té requeriments diferents que, en certa mesura, se sobreposen però que també entren, d'alguna manera, en conflicte. Internet obre la possibilitat de desenvolupar una varietat de models distints de comunicació científica modulant la intensitat de cadascun d'aquests tres rols que les revistes en paper han desenvolupat i, possiblement, d'altres funcions que no eren ni tan sols imaginables abans del desenvolupament de les xarxes electròniques d'abast planetari. Les implicacions de la distribució electrònica per a la propietat i accés a la literatura científica són profundes i tendeixen a agreujar la ja seriosa crisi dels preus de les revistes que està frenant l'accés a la informació científica. La comunitat d'estudiosos, que és autora del material que aquestes publicacions contenen i, al mateix temps, n'és el principal consumidor, està en possessió de la clau per a solucionar aquesta crisi tot permetent a Internet ser un vehicle que faciliti la difusió d’una recerca finançada des del sector públic en comptes de crear una situació de propietat privada d'aquesta recerca.