- birational geometry
- мат.бирациональная геометрия
English-Russian scientific dictionary. 2008.
birational geometry
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Birational geometry — In mathematics, birational geometry is a part of the subject of algebraic geometry, that deals with the geometry of an algebraic variety that is dependent only on its function field. In the case of dimension two, the birational geometry of… … Wikipedia
Minimal model (birational geometry) — In algebraic geometry, more specifically in the field of birational geometry, the theory of minimal models is part of the birational classification of algebraic varieties. Its goal is to construct, given a variety satisying certain restrictions,… … Wikipedia
Geometry — (Greek γεωμετρία ; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest sciences. Initially a body of… … Wikipedia
Birational invariant — In algebraic geometry, a birational invariant is a quantity or object that is well defined on a birational equivalence class of algebraic varieties. In other words, it depends only on the function field of the variety.For example in the case of… … Wikipedia
Italian school of algebraic geometry — In relation with the history of mathematics, the Italian school of algebraic geometry refers to the work over half a century or more (flourishing roughly 1885 1935) done internationally in birational geometry, particularly on algebraic surfaces.… … Wikipedia
Motive (algebraic geometry) — For other uses, see Motive (disambiguation). In algebraic geometry, a motive (or sometimes motif, following French usage) denotes some essential part of an algebraic variety . To date, pure motives have been defined, while conjectural mixed… … Wikipedia
List of geometry topics — This is list of geometry topics, by Wikipedia page.*Geometric shape covers standard terms for plane shapes *List of mathematical shapes covers all dimensions *List of differential geometry topics *List of geometers *See also list of curves, list… … Wikipedia
Flip (algebraic geometry) — In mathematics, specifically in algebraic geometry, a flip is a certain kind of codimension 2 surgery operation arising naturally in the attempt to construct a minimal model of an algebraic variety. The minimal model program can be summarised… … Wikipedia
Flop (algebraic geometry) — In algebraic geometry, a flop is a special sort of birational map between varieties. The first example, known as the Atiyah flop, was found in harv|Atiyah|1958.ee also*FlipReferences*Citation | last1=Atiyah | first1=Michael Francis | author1 link … Wikipedia
List of algebraic geometry topics — This is a list of algebraic geometry topics, by Wikipedia page. Contents 1 Classical topics in projective geometry 2 Algebraic curves 3 Algebraic surfaces 4 … Wikipedia
Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… … Wikipedia
