i just want to compare the b2 and g2 cases a bit, to see whether they seem to follow the same naive pattern...

for g2, the 2d schubert variety on the "point" grassmanian seems to be non-singular, and the one on the "line" grassmanian seems to be singular, where the "point" grassmanian is the one that embeds into the projective space of the smallest irrep. does this hold for b2 as well? i think so, but i should check more carefully. actually i should check both cases more carefully.