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Original Articles

Zeros of complex homogeneous polynomials

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Pages 463-469 | Received 06 Jul 2005, Published online: 21 Sep 2007
 

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 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.

Acknowledgement

The second author was supported by CNPq (Brazil), fellowship no. 140282/2002-5.

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