Zeros of complex homogeneous polynomials

Author: Lourenço Mary Lillian   Tocha Neusa Nogas  

Publisher: Taylor & Francis Ltd

ISSN: 0308-1087

Source: Linear and Multilinear Algebra, Vol.55, Iss.5, 2007-09, pp. : 463-469

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Abstract

It is known that for any positive integers n and d, there is a positive integer m such that for every d-homogeneous polynomial [image omitted] has an n-dimensional subspace XP, XP⊂ P-1(0). We discuss the problem of finding a good bound for m as a function of d and n.