Evaluation of the Macroeconomic Stability of Central and Eastern European Countries with a View Toward their Membership in the European Union. Multidimensional Risk Analysis

The shapes of the macroeconomic stabilisation pentagon for CEEC economies in 2014 shows that none of the analysed countries is characterised by total filling of the pentagon. This means that the economic situation in these countries is not stable and requires constant monitoring. The figures related to all analysed indicators, apart from GDP, are characterised by a flattened shape, which is characteristic for such a situation

The Tate conjecture for K3 surfaces in odd characteristic

We show that the classical Kuga-Satake construction gives rise, away from characteristic 2, to an open immersion from the moduli of primitively polarized K3 surfaces (of any fixed degree) to a certain regular integral model for a Shimura variety of orthogonal type. This allows us to attach to every polarized K3 surface in odd characteristic an abelian variety such that divisors on the surface can be identified with certain endomorphisms of the attached abelian variety. In turn, this reduces the Tate conjecture for K3 surfaces over finitely generated fields of odd characteristic to a version of the Tate conjecture for certain endomorphisms on the attached Kuga-Satake abelian variety, which we prove. As a by-product of our methods, we also show that the moduli stack of primitively polarized K3 surfaces of degree 2d is quasi-projective and, when d is not divisible by p^2, is geometrically irreducible in characteristic p. We indicate how the same method applies to prove the Tate conjecture for co-dimension 2 cycles on cubic fourfolds

Changing Views of Competition and EC Antitrust Law

During the last few years the application of EC antitrust law has been subject to a number of changes, aiming at giving a greater role to economic analysis. This is leading to the abandonment of the traditional ordoliberal inspiration of EC competition law. This paper explores how justi ed is this change. In particular it argues that economic analysis provides di erent views of how competition works and thet it may a ect the application of antitrust at di erent stages. From this point of view a more economic approach is not necessarily incompatible with a reformed ordoliberal paradigm. What appears incompatible is an approach which substitutes eciency for competition. Such an approach has gained a role in the US antitrust, but its extension to the EC legal context is bound to produce a number of problems, and to lead to results di erent from the desired ones.antitrust,models of competition,ordoliberal paradigm,EC competition law