Holomorphic submersions onto K\"ahler or balanced manifolds

We study many properties concerning weak K\"ahlerianity on compact complex manifolds which admits a holomorphic submersion onto a K\"ahler or a balanced manifold. We get generalizations of some results of Harvey and Lawson (the K\"ahler case), Michelson (the balanced case), Popovici (the sG case) and others.Comment: 14 pages; second revised version; in press, Tohoku Math. J. vol 68, n.4 (2016

Computing Volume Bounds of Inclusions by EIT Measurements

The size estimates approach for Electrical Impedance Tomography (EIT) allows for estimating the size (area or volume) of an unknown inclusion in an electrical conductor by means of one pair of boundary measurements of voltage and current. In this paper we show by numerical simulations how to obtain such bounds for practical application of the method. The computations are carried out both in a 2D and a 3D setting.Comment: 20 pages with figure

Proper modifications of generalized p−p-K\"ahler manifolds

In this paper, we consider a proper modification $f : \tilde M \to M$ between complex manifolds, and study when a generalized $p-$K\"ahler property goes back from $M$ to $\tilde M$. When $f$ is the blow-up at a point, every generalized $p-$K\"ahler property is conserved, while when $f$ is the blow-up along a submanifold, the same is true for $p=1$. For $p=n-1$, we prove that the class of compact generalized balanced manifolds is closed with respect to modifications, and we show that the fundamental forms can be chosen in the expected cohomology class. We get some partial results also in the non-compact case; finally, we end the paper with some examples of generalized $p-$K\"ahler manifolds.Comment: 22 pages, revised extended versio

Tropicalization of group representations

In this paper we give an interpretation to the boundary points of the compactification of the parameter space of convex projective structures on an n-manifold M. These spaces are closed semi-algebraic subsets of the variety of characters of representations of the fundamental group of M in SL_{n+1}(R). The boundary was constructed as the tropicalization of this semi-algebraic set. Here we show that the geometric interpretation for the points of the boundary can be constructed searching for a tropical analogue to an action of the group on a projective space. To do this we need to construct a tropical projective space with many invertible projective maps. We achieve this using a generalization of the Bruhat-Tits buildings for SL_{n+1} to non-archimedean fields with real surjective valuation. In the case n = 1 these objects are the real trees used by Morgan and Shalen to describe the boundary points for the Teichmuller spaces. In the general case they are contractible metric spaces with a structure of tropical projective spaces.Comment: 27 pages, 1 figure; Changes in version 2: minor changes, some references added. Changes in version 3: the paper has been updated according to the companion paper arXiv:0801.0165 v1, some typos correcte

Some Additional Evidence from the Credit Channel on the Response to Monetary Shocks: Looking for Asymmetries

The credit channel of monetary policy has both cross-sectional and timeseries implications for the reaction of the economy to monetary shocks. This paper focuses on the more rarely investigated time-series aspect and shows that the economy has varying sensitivity to monetary shocks over time. By using a Threshold VAR model, we find that output and credit spreads react much stronger to monetary shocks when cash flows or dividends are low. This distinction in the regimes is in particular more significant than one based on the stage of the business cycle or on the stance of monetary policy. In this sense, the response to a tightening for instance cannot be considered as constant and traditional impulse-response functions have to be taken with some caution.credit channel; ThresholdVector Autoregression (TVAR); asymmetric responses

The Role of the Euro-Mediterranean Relations Facing the Economic Crisis

The global financial crisis is affecting the Mediterranean Countries in seveal ways: a slowdown in global economic growth, a decline in foreign direct investment inflows, a decline of worker remittances. However, their economies continued to show more sustainable growth in the face of rapidly changing external macroeconomic conditions. In this context, the Union for the Mediterranean set up four priorities for the Southern partners: SMEs, high unemployment, increasing environmental strains and inefficient transport infrastructures. This is a high profile initiative, but based on voluntary contributions. For this reason it is hardly difficult to identify the amount of financial resources that will be mobilised and their economic and social impact.Union for the Mediterranean, Financial resources, FTA

China, India and Russia: economic reforms, structural change and regional disparities

This paper studies the different patterns of growth of China, India and Russia by exploring and comparing the processes of reforms that have generated and accompanied their high and sustained rates of growth. Focusing on the sector transformations involved into the three economies, we show that the growth strategies implemented present specific characteristics in terms of gradualism and policy choices. We analyze the effects of economic growth on regional income disparities and to what extent the recent increase in prosperity has been homogeneously distributed within the three giants. Making use of Theil's T statistics and transition probability matrices, our findings reveal that income disparities within the Indian states and Chinese provinces have increased and, more in particular, landlocked and rural areas are in general still far from reducing the income gap from coastal and richest regions. In the case of Russia, the great divide is fuelled by the presence of hydrocarbons resources, which tend to be concentrated in the West Siberia