About forms equal to zero at each vertex of a cube
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Conditions under which the form is equal to zero at each vertex of a cube are discussed. Codimensions of the spaces of these forms are calculated for certain values of the degree and dimension. Explicit expressions for the low-degree forms of this type are found.
KeywordsCommunication Technology Quadratic Form Linear Space Linear Form Hilbert Function
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- 1.J. Harris, Algebraic Geometry: a First Course (Springer-Verlag, New York, 1995; MTsNMO, Moscow, 2005).Google Scholar