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Mnev's universality theorem : ウィキペディア英語版
Mnev's universality theorem
In algebraic geometry, Mnev's universality theorem is a result which can be used to represent algebraic (or semi algebraic) varieties as realizations of oriented matroids, a notion of combinatorics.
==Oriented matroids==

For the purposes of Mnev's universality,
an oriented matroid of a finite subset
S\subset ^n is a list
of all partitions of points in ''S'' induced
by hyperplanes in ^n.
In particular, the structure of oriented matroid
contains full information on the incidence
relations in ''S'', inducing on ''S''
a matroid structure.
The realization space of an oriented matroid
is the space of all configurations of points
S\subset ^n inducing the same
oriented matroid structure on ''S''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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