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- Chow_coordinates abstract "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.Then the coordinates of the d points of intersection are algebraic functions of the Plücker coordinates of U, and by taking a symmetric function of the algebraic functions, a homogeneous polynomial known as the Chow form (or Cayley form) of Z 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. The Chow coordinates define a point in the projective space corresponding to all forms, and the closure of the possible Chow coordinates is called the Chow variety.".
- Chow_coordinates wikiPageID "2522243".
- Chow_coordinates wikiPageRevisionID "284189272".
- Chow_coordinates first "Val.S.".
- Chow_coordinates hasPhotoCollection Chow_coordinates.
- Chow_coordinates id "C/c022180".
- Chow_coordinates last "Kulikov".
- Chow_coordinates title "Chow variety".
- Chow_coordinates subject Category:Algebraic_geometry.
- Chow_coordinates comment "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_coordinates label "Chow coordinates".
- Chow_coordinates sameAs m.07kq5z.
- Chow_coordinates sameAs Q5105518.
- Chow_coordinates sameAs Q5105518.
- Chow_coordinates wasDerivedFrom Chow_coordinates?oldid=284189272.
- Chow_coordinates isPrimaryTopicOf Chow_coordinates.