180 research outputs found
M.I. Tugan-Baranovsky and his attitude to Marxism
No full textIn the article the author challenges the point of view widespread in the Soviet literature that M.I.Tugan-Baranovsky initially was not a Marxist. In his opinion, the Russian thinker at first was sincerely keen on Marxism, but divided not everything in it. Already in his first scientific article “About the value reasons”(1890) he made amendments to the theory of value of Karl Marx. Strictly speaking, his master thesis about industrial crises was not quite Marxist. In it he came to a conclusion that capitalism will not die a natural death and is internally capable to continuous development. However, doctoral dissertation of M.I.Tugan-Baranovsky “The Russian factory” (1898) was got generally by Marxist ideology. The scientist started open criticism of Marxism since May, 1899. Further, at the beginning of the XX century he accused Marxism of a social monism, absolutization of a role of productive forces in historical process, underestimation of mental factors of social development, denied the law of tendency of rate of profit formulated by Karl Marx to fall and the impoverishment of the proletariat. The Russian scientist also sharply criticized Marxism from ethical positions and according to the author of this article this criticism of Marxist ethics and morals actually contained anticipation of Leninism and Stalinism. In fact, at the beginning of the XX century the scientist actively looked for his own way, and on this way there were very few basic contacts with Marxism
Dzhuchi Mikhaylovich Tugan-Baranovsky: Way of a Scientist
No full textThe author studies the academic activity of Dzhuchi M. Tugan-Baranovsky, defines the sphere of his academic interests, gives the characteristic of his major works. The special attention is paid to the analysis of the works devoted to the formation of the political regime of Napoleon Bonaparte and identifying the endowment made by the historian in studying the history of French studies in Russia.
D. M. Tugan-Baranovsky attached great importance to the period of the Consulate, stressing the prevalence of the Napoleon’s regime at that time. In this period the real opposition, both from the side of the royalists and Republicans was eliminated. Based on an extensive range of sources the historian analyzed various attempts of drafting a Republican conspiracy against Napoleon. The historian explored major transformations of the period of the Consulate: the reorganization of the financial system, judicial reform, establishment of the new administrative system and its subsequent evolution. He noted that the complex reforms of Napoleon were not only the political but also of great social importance. D.M. Tugan-Baranovsky claimed that Napoleon’s regime had much more connection with the inner end of the bourgeois revolution than it appeared in the Soviet literature.
In recent years D.M. Tugan-Baranovsky has addressed issues of social and economic history of Russia in the late 19th - early 20th centuries and the study of political and scientific activities of his grandfather M.I. Tugan-Baranovsky. The author of the article shows what aspects of the work of the scientist-economist have attracted the attention of D.M. Tugan-Baranovsky
Theory of Cycles of M. I. Tugan-Baranovsky: View from the XXI Century
No full textThe paper is devoted to the theory of cycles of M. I. Tugan-Baranovsky, the scientific premises for the concept’s formation, the main stages of its development and the historical fate of Tugan-Baranovsky’s doctrine and its role in the advancement of the idea of long-wave economic dynamics. In the first phase (from 1847 to 1894), scientists have tried to figure out the causes of economic crises. The concepts of S. J. Loyd, W. S. Jevons, C. Juglar, E. Laveleye, S. Sismondi, K. Marx and F. Engels are investigated.
The second stage (from 1894 to 1919) is linked with the name of M. I. Tugan-Baranovsky. Three lifetime editions of his master's thesis are analyzed, the relationship between simple commodity production and capitalist economy is shown. The advantages and disadvantages of the reproduction schemes of M. I. Tugan-Baranowsky, as well as the reasons for the success of his theory of cycles are described.
The third stage (from 1922) in the development of the cycle theory is associated with the name of N. D. Kondratiev who was the student of M. I. Tugan-Baranovsky.
He created the theory of long-wave cycles conditions. The paper details the contribution of Joseph A. Schumpeter, who tried to link the short-term, medium-term and long-term fluctuations in market conditions. In 1910-1940 years the questions of understanding the nature of innovation, their role in the development of society and the link between innovation and long conjuncture cycles come to the fore. The period 1940-1970 characterized by increasing the role of macro-economic analysis in the study of the cycles theory. The present time is characterized by the cycle theories which can be described as the alternative approach: institutionalism, evolutionary economics, management (innovation management)
Conexidade dos esquemas de Hilbert e Quot de pontos sobre os espaços afins C2 e C3
No full textDissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2016.Exibiremos uma bijeção entre o esquema Quot de n pontos sobre o espaço afim C^d e um espaço de d matrizes n por n que são nilpotentes e comutam entre si e que satisfazem uma condição de estabilidade módulo uma ação de GLn(C) que é dada pela conjugação, tal resultado é uma generalização do caso feito por Baranovsky. Feito isso, mostraremos a irredutibilidade do esquema Quot sobre o espaço afim C^2, também feita por Baranovsky e, em seguida, estudaremos a conexidade do esquema Quot nos casos particulares de d=2,3 e n=2,3,4.Abstract : We exhibit a bijection between the Quot scheme of n points over the affine space C^d and some space of d nilpotent matrices n by n commuting with each other and satisfying a stability condition modulo some GLn(C) action given by conjugation, this result was proved by Baranovsky. With that done, we show the irreducibility of the Quot scheme over the affine space C^2 wich was done also by Baranovsky and, after that, we study the connectedness of the Quot scheme in the particular cases of d=2,3 and n=2,3,4
Recommended from our members
Obstructions to the Extension of Vector Bundles
No full textIn a C∞ geometry situation, given a submanifold X embedded in another manifold Y , X ⊆ Y , we could ask a question about the existence of the an infinitesimal neighborhood of X, and the Tubular Neighborhood Theorem guarantees the existence of a tubular neighborhood U ⊆ Y of X which admits a projection to X. Moreover, given a vector bundle E over X, we could easily extend the bundle E even to the neighborhood U found, by taking the pullback with respect to the projection.In the holomorphic or algebraic setting, we consider a smooth subvariety X in a smooth variety Y , X ↪ Y , over a field k of characteristic zero. Here we have a formal neighborhood O(∞) of X instead, taking a form of a structure called an L∞- algebroid, which can be described in three different ways: ˇCech , Dolbeault, and formal geometry. For a vector bundle E over X, we assume that E extends to the l-th formal neighborhood of X in Y for k > l. We study cohomological obstruction theory and find out necessary conditions to extending E further to the k-th neighborhood in three different approaches introduced
Разработка интернет-портала, поддерживающего научные, коммуникационные и организационные взаимодействия
No full textZhavnerko E. V., Baranovsky A. T. Development of an Internet portal supporting scientific, communication and organizational interaction
Recommended from our members
Growth conditions on Hilbert functions of modules
No full textGotzmann's Regularity Theorem uses a binomial representation of the Hilbert polynomial of a standard graded algebra to establish a bound on Castelnuovo-Mumford regularity. Using this and his Persistence Theorem, Gotzmann provided an explicit construction of the Hilbert scheme. This author will show that Gotzmann's Regularity Theorem cannot be extended to arbitrary modules. However, under an additional assumption on the generating degrees of a module, Gotzmann's Regularity Theorem will be proven. The modules satisfying the additional assumption will correspond to globally generated coherent sheaves. This will be used to provide an explicit construction of the Quot scheme. The Gotzmann Regularity bound is known to be strict for standard graded algebras, but not for globally generated coherent sheaves. In order to address this, new representations for the Hilbert function and Hilbert polynomial are given that account for the rank and generating degrees of a module. Generalizations of the theorems of Macaulay, Green, and Gotzmann will be proven using these representations. The generalized Gotzmann number will give a strict upper bound for the regularity of modules generated in degree zero. Additionally, these representations will be used to prove a sharp inequality on the first and second Chern classes of a globally generated coherent sheaf
Recommended from our members
Deformation Quantization of Vector Bundles on Lagrangian Subvarieties
No full textWe consider a smooth subvariety Y in a smooth algebraic variety X with an algebraic symplectic form. Assume that there exists a deformation quantization Oh of the structure sheaf OX which agrees with the symplectic form. When Y is Lagrangian, for a vector bundle E on Y, we establish necessary and sufficient conditions for the existence of the deformation quantization of E, i.e., an Oh-module Eh such that Eh/hEh=E.If the necessary conditions hold, we describe the set of equivalence classes of such quantizations. In the more general situation when Y is coisotropic, we reformulate the deformation problem into the lifting problem of torsors. We expect a deformation quantization of a line bundle on a coisotropic subvariety is equivalent to a solution of curved Maurer-Cartan equation of a curved L-infinity-algebra
Additive invariants of orbifolds
No full textUsing the recent theory of noncommutative motives, we compute the additive invariants of orbifolds (equipped with a sheaf of Azumaya algebras) using solely “fixed-point data”. As a consequence, we recover, in a unified and conceptual way, the original results of Vistoli concerning algebraic K–theory, of Baranovsky concerning cyclic homology, of the second author and Polishchuk concerning Hochschild homology, and of Baranovsky and Petrov, and Cǎldǎraru and Arinkin (unpublished), concerning twisted Hochschild homology; in the case of topological Hochschild homology and periodic topological cyclic homology, the aforementioned computation is new in the literature. As an application, we verify Grothendieck’s standard conjectures of type C+ and D, as well as Voevodsky’s smash-nilpotence conjecture, in the case of “low-dimensional” orbifolds. Finally, we establish a result of independent interest concerning nilpotency in the Grothendieck ring of an orbifold. Keywords: orbifold; algebraic K–theory; cyclic homology; topological Hochschild homology; Azumaya algebra; standard conjectures; noncommutative algebraic geometr
Recommended from our members
Obstructions to Deformation Quantization of Bundles
No full textThe necessary conditions for a quantization of a module over an algebra on a symplectic manifold to exist are investigated. Considered is a symplectic algebraic variety with a fixed deformation quantization of its sheaf of regular functions, and a vector bundle on M with a deformation quantization of order (as a module over ). It is found that range of cohomology classes must vanish if this order admits an extension to quantization of order \ell>k. For \ell<2k+2 these conditions are also sufficient. For a previously unknown obstruction class is found. To construct an explicit form of the obstruction class, one employs a Gelfand-Fuks map from the Lie algebra cohomology to the de Rham cohomology of . The properties of the Gelfand-Fuks map imply that if a lift of quantization from order to exists, then any element in the kernel of Lie algebra extension - an obstruction class - is mapped to an element in the image that is equivalent to zero. To illustrate the mechanism behind this statement the the Fedosov connection approach is generalized to realize this class via explicit expressions. The generalized Fedosov connection is treated in a manner analogous to the method employed in Tsygan and Nest (2001), wherein the quantization of complex manifolds are studied. It is shown how Gelfand-Fuks classes may be obtained as brackets of the Fedosov connection forms
- …
