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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 2, Pages 47–50 (Mi vmumm769)

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The number of solutions to some systems of equations

A. N. Zaitseva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An estimnate for the number of solutions to multi-homogenious systems of equations is obtained 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.

UDC: 512.62

Received: 02.08.2009



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