CONDITIONS AND MECHANISMS FOR EFFECTIVE PREVENTION OF CORRUPTION IN UKRAINE

The content of systemic network structuring of corruption as an institution of absolute anti-social orientation is revealed. Attention is paid to the conceptual purity of the categorical apparatus, in particular, the concepts of “corruption” and “bribery” are distinguished. The characteristics of personalized and corporate-associated subjects of corruption are given, the content of modern forms and characteristic varieties of the object of corruption bribery is revealed. A differentiated list is given and the content of specific markets of “corruption services” operating within the general “black” market of Ukraine is revealed. The socio-economic origins are shown and the nature of personal and corporate interests of the subjects, the bearers of corruption relations, is revealed. The real spectrum of destructive anti-social consequences of the synergy of the binary union of the “institution of corruption” with the “institution of the criminal “black” economy” is determined. There are three basic blocks of criminal economic activity: i) criminal trade; ii) provision of criminal services; iii) criminal violation of the rules of economic and commercial activity. On the basis of the generalized experience of the USA the necessary conditions are defined and suggestions are given concerning formation of organizational-economic and economic-legal anti-corruption mechanisms. It is proven that overcoming corruption is impossible without abolishing the legal principle of “presumption of innocence” in the field of confirming the legitimacy of taxpayers' incomes, who are obliged to provide comprehensive information proving the legitimacy of the sources of personal and family real estate. The conditions for ensuring an effective order in the field of accounting and control of the completeness of citizens ’compliance with tax obligations on the basis of improving the mechanism of income declaration and state-market accounting of real estate of the population of Ukraine are determined. In the context of critical remarks on the mistakes made over the past five years, proposals are made to improve the organizational-economic framework for declaring annual income, as well as socially just and anti-corruption legalization of wealth, property and capital of individuals by providing fair compensation to the state treasury for losses caused to the budget during the period of independence of Ukraine.

Alexander invariants and cohomology jump loci in group extensions

We study the integral, rational, and modular Alexander invariants, as well as the cohomology jump loci of groups arising as extensions with trivial algebraic monodromy. Our focus is on extensions of the form 1→K→G→Q→1, where Q is an abelian group acting trivially on H1(K;ℤ), with suitable modifications in the rational and mod-p settings. We find a tight relationship between the Alexander invariants, the characteristic varieties, and the resonance varieties of the groups K and G. This leads to an inequality between the respective Chen ranks, which becomes an equality in degrees greater than 1 for split extensions.

On the Negativity of Moduli Spaces for Polarized Manifolds

Given a log base space (Y, S), parameterizing a smooth family of complex projective varieties with semi-ample canonical line bundle, we briefly recall the construction of the deformation Higgs sheaf and the comparison map on (Y, S) made in the work by Viehweg–Zuo. While almost all hyperbolicities in the sense of complex analysis such as Brody, Kobayashi, big Picard and Viehweg hyperbolicities of the base U = Y ∖ S (under some technical assumptions) follow from the negativity of the kernel of the deformation Higgs bundle we pose a conjecture on the topological hyperbolicity on U. In order to study the rigidity problem we then introduce the notions of the length and characteristic varieties of a family f : X → Y, which provide an infinitesimal characterization of products of sub log pairs in (Y, S) and an upper bound for the number of subvarieties appearing as factors in such a product. We formulate a conjecture on a characterization of non-rigid families of canonically polarized varieties.

New varieties of perennial grasses (wheatgrass, awnless brome, bluegrass) in Northern Kazakhstan

The article presents the results of perennial grasses breeding in the conditions of Northern Kazakhstan. The characteristic varieties of wheatgrass, awnless brome, bluegrass along the length of the vegetation period, yield of forage and seed, feed quality, resistance to adverse environmental factors and recommended areas of cultivation of these varieties in Kazakhstan.