The Shapiro Conjecture 2

Work of Schubert (1886) and Eisenbud-Harris (1983) shows that the Wronski map
W   :   Gr(k,d+1)   ---->   Pk(d+1-k) ,
of complex spaces is surjective with finite fibres and has degree

#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).