A generalization of Grassmann Coordinates to -D varieties of degree in , where is an -D projective space. To define the Chow coordinates, take the intersection of a -D Variety of degree by an -D Subspace of . Then the coordinates of the points of intersection are algebraic functions of the Grassmann Coordinates of , and by taking a symmetric function of the algebraic functions, a hHomogeneous Polynomial known as the Chow form of is obtained. The Chow coordinates are then the Coefficients of the Chow form. Chow coordinates can generate the smallest field of definition of a divisor.

**References**

Chow, W.-L. and van der Waerden., B. L. ``Zur algebraische Geometrie IX.'' *Math. Ann.* **113**, 692-704, 1937.

Wilson, W. S.; Chern, S. S.; Abhyankar, S. S.; Lang, S.; and Igusa, J.-I. ``Wei-Liang Chow.'' *Not. Amer. Math. Soc.* **43**,
1117-1124, 1996.

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1999-05-26