Chow Coordinates
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High Quality Content by WIKIPEDIA articles! In mathematics, and more particularly in the field of algebraic geometry, Chow coordinates are a generalization of Plücker coordinates, applying to m-dimensional algebraic varieties of degree d in Pn, that is, n-dimensional projective space. They are named for W. L. Chow. A Chow variety is a variety whose points correspond to all cycles of a given projective space of given dimension and degree. To define the Chow coordinates, take the intersection of an algebraic variety Z of degree d and dimension m by linear subspaces U of codimension m. When U is…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics, and more particularly in the field of algebraic geometry, Chow coordinates are a generalization of Plücker coordinates, applying to m-dimensional algebraic varieties of degree d in Pn, that is, n-dimensional projective space. They are named for W. L. Chow. A Chow variety is a variety whose points correspond to all cycles of a given projective space of given dimension and degree. To define the Chow coordinates, take the intersection of an algebraic variety Z of degree d and dimension m by linear subspaces U of codimension m. When U is in general position, the intersection will be a finite set of d distinct points.