  In this paper, we initiate the study of constant dimension subspace codes
restricted to Schubert varieties, which we call Schubert subspace codes. These
codes have a very natural geometric description, as objects that we call
intersecting sets with respect to a fixed subspace. We provide a geometric
construction of maximum size constant dimension subspace codes in some Schubert
varieties with the largest possible value for the minimum subspace distance.
Finally, we generalize the problem to different values of the minimum distance.
