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The Number of Solutions to Some Systems of Equations / Zaitseva A.N. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 2. P. 47-50 [Moscow Univ. Math. Bulletin. Vol. 65, No 2, 2010. P. 81-84]. An estimate for the number of solutions to multi-homogeneous systems of equations is obtained by using properties of the Hilbert function of multi-homogeneous ideals.
Key words: number of solutions, multiprojective equations, Hilbert function,
multi-projective space, zero-dimensional ideals.
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