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.