The Shapiro Conjecture | 2 |
#k,d = |
1! 2! ... (k-1)! [k(d+1-k)]! (d+1-k)! (d+1-k)! ... d! |
Conjecture
(Boris Shapiro and Michael Shapiro)
If a polynomial F in
Pk(d+1-k)
has k(d+1-k) distinct real zeroes,
then W -1(F) consists of
#k,d real points
(k-planes of polynomials).