Abelian varietyIn mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions. Abelian varieties are at the same time among the most studied objects in algebraic geometry and indispensable tools for much research on other topics in algebraic geometry and number theory. An abelian variety can be defined by equations having coefficients in any field; the variety is then said to be defined over that field.
Algebraic varietyAlgebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition. Conventions regarding the definition of an algebraic variety differ slightly.
Market economyA market economy is an economic system in which the decisions regarding investment, production and distribution to the consumers are guided by the price signals created by the forces of supply and demand. The major characteristic of a market economy is the existence of factor markets that play a dominant role in the allocation of capital and the factors of production.
Socialist-oriented market economyThe socialist-oriented market economy (Vietnamese: Kinh tế thị trường định hướng xã hội chủ nghĩa) is the official title given to the current economic system in the Socialist Republic of Vietnam. It is described as a multi-sectoral market economy where the state sector plays the decisive role in directing economic development, with the eventual long-term goal of developing socialism. The socialist-oriented market economy is a product of the Đổi Mới economic reforms which led to the replacement of the centrally planned economy with a market-based mixed economy based on the predominance of state-owned industry.
Projective varietyIn algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety. Equivalently, an algebraic variety is projective if it can be embedded as a Zariski closed subvariety of .
Market socialismMarket socialism is a type of economic system involving social ownership of the means of production within the framework of a market economy. Various models for such a system exist, usually involving some mix of public, cooperative, and privately owned enterprises. The central idea is that, as in capitalism, businesses compete for profits, however they will be "owned, or at least governed," by those who work in them. Market socialism differs from non-market socialism in that the market mechanism is utilized for the allocation of capital goods and the means of production.
Chow varietyIn mathematics, particularly in the field of algebraic geometry, a Chow variety is an algebraic variety whose points correspond to effective algebraic cycles of fixed dimension and degree on a given projective space. More precisely, the Chow variety is the fine moduli variety parametrizing all effective algebraic cycles of dimension and degree in . The Chow variety may be constructed via a Chow embedding into a sufficiently large projective space.
Factors of productionIn economics, factors of production, resources, or inputs are what is used in the production process to produce output—that is, goods and services. The utilized amounts of the various inputs determine the quantity of output according to the relationship called the production function. There are four basic resources or factors of production: land, labour, capital and entrepreneur (or enterprise). The factors are also frequently labeled "producer goods or services" to distinguish them from the goods or services purchased by consumers, which are frequently labeled "consumer goods".
Production functionIn economics, a production function gives the technological relation between quantities of physical inputs and quantities of output of goods. The production function is one of the key concepts of mainstream neoclassical theories, used to define marginal product and to distinguish allocative efficiency, a key focus of economics. One important purpose of the production function is to address allocative efficiency in the use of factor inputs in production and the resulting distribution of income to those factors, while abstracting away from the technological problems of achieving technical efficiency, as an engineer or professional manager might understand it.
Industrial policyA country's industrial policy (IP) or industrial strategy is its official strategic effort to encourage the development and growth of all or part of the economy, often focused on all or part of the manufacturing sector. The government takes measures "aimed at improving the competitiveness and capabilities of domestic firms and promoting structural transformation". A country's infrastructure (including transportation, telecommunications and energy industry) is a major enabler of the wider economy and so often has a key role in IP.
