On symmetric matrices with indeterminate leading diagonals
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We consider properties of the matrix of a real quadratic form that takes a constant value on a sufficiently large set of vertices of a multidimensional cube centered at the origin given that the corresponding quadric does not separate vertices of the cube. In particular, we show that the number of connected components of the graph of the matrix of such a quadratic form does not change when one edge of the graph is deleted.
- 5.Harris, J., Algebraic Geometry: A First Course, New York: Springer, 1995, 3rd ed. Translated under the title Algebraicheskaya geometriya. Nachal’nyi kurs, Moscow: MCCME, 2005.Google Scholar