The Brauer-Manin obstruction to the local-global principle for the embedding problem

We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the (algebraic) Brauer-Manin obstruction is the only one to weak approximation when the embedding problem has abelian kernel. As a part of our investigations we also give a new, elegant description of the Tate duality pairing and prove a new theorem on the cup product.Comment: Referenced upgraded. 37 page

In vitro starch binding experiments: Study of the proteins related to grain hardness of wheat

Two friabilin components, puroindoline a and GSP-1 were expressed in Escherichia coli. Starch binding properties of the recombinant polypeptides and of friabilin extracted from wheat flour were compared in vitro. The produced proteins as well as native wheat friabilin bound to starch granules prepared from different (soft, hard and durum) wheat cultivars. Starch granules also bound specifically several wheat endosperm proteins other than friabilin

Chebyshev constants for the unit circle

It is proven that for any system of n points z_1, ..., z_n on the (complex) unit circle, there exists another point z of norm 1, such that $$\sum 1/|z-z_k|^2 \leq n^2/4.$$ Equality holds iff the point system is a rotated copy of the nth unit roots. Two proofs are presented: one uses a characterisation of equioscillating rational functions, while the other is based on Bernstein's inequality.Comment: 11 page

Through the Looking Glass of Global Constitutionalism and Global Administrative Law

In addition to (or sometimes rather than primarily) attribut- ing it to water scarcity, water crisis has been described as a ‘crisis of governance’; with the word ‘crisis’ also indicating that water governance lacks (full) legitimacy. The article undertakes the task to analyse the current status of global water governance (GWG) from the perspective of two com- peting theories relating to the legitimacy of global govern- ance, namely global constitutionalism (GC) and global administrative law (GAL). Having mapped the current legal framework of GWG from these two perspectives, it is dis- cussed how these theories might shape GWG and how this shaping could contribute to solving the water crisis. In addi- tion, it is also explored whether reading one of the most accepted proposals for legitimising global water governance, the concept of ‘integrated water resources management’ (IWRM), through the lenses of either GC or GAL would have an impact on how this concept is interpreted, and whether it can be a useful mechanism to address the water crisis. The use of two theories analysing the same subject matter provides interesting insights into global water govern- ance and the nature of the water crisis as well as the rela- tionship between these two theories

Comparative Law Method in the Jurisprudence of the European Court of Human Rights in the Light of the Rule of Law

In several cases, comparative law exercises have been given excessive weight, which has \ngiven rise to con\xef\xac\x82 icting interpretations in the case law of the European Court of Human \nRights (ECtHR). This use of the comparative law method by the Court has been widely \ncriticised. The critical voices have generally argued in terms of what is prohibited by the \nprinciple of the rule of law, which the Court itself is also bound to take into account, namely \nthe arbitrary use of power. In the light of these criticisms, it is a challenging task to examine \nwhether and to what extent the comparative law method complies with the principle of the \nrule of law, which is the aim of this paper. An analysis of several ECtHR cases demonstrates \nthat in many respects the comparative exercises of the Court indeed do not comply with \nthe requirements set by the formal conception of the rule of law. The application of the \ncomparative law method is neither consistent nor suf\xef\xac\x81 ciently transparent. In addition to \nexploring the problematic aspects of the application of the comparative law method, the \npaper also formulates some recommendations in order to bring this method into accordance \nwith the principle of the rule of law

Investments in Social Ties, Risk Sharing and Inequality

This paper investigates stable and efficient networks in the context of risk-sharing, when it is costly to establish and maintain relationships that facilitate risk-sharing. We find a novel trade-off between efficiency and equality. The most stable effic

Hyperon--anti-hyperon polarization asymmetry in relativistic heavy-ion collisions as an interplay between chiral and helical vortical effects

We argue that the enhancement in the spin polarization of anti-hyperons compared to the polarization of the hyperons in noncentral relativistic heavy-ion collisions arises as a result of an interplay between the chiral and helical vortical effects. The chiral vortical effect generates the axial current of quarks along the vorticity axis while the recently found helical vortical effect generates the helicity flow -- the projection of the quark's polarization vector onto its momentum -- along the same axis. For massless fermions, the helical charge corresponds to a difference in the contributions of particles and anti-particles to the axial charge. Assuming that the spin of light quarks transfers to the strange quarks via the vector kaon states ("the spin-vector dominance"), we are able to describe the ratio of the (anti)hyperon spin polarizations, obtained by the STAR group, without fitting parameters. We also argue that the helical vortical effect dominates over the chiral vortical effect and the chiral magnetic effect in the generation of the electric current.Comment: 9 pages, 3 figures; v2: discussions expanded, chiral magnetic effect and helical vortical effect are compare