Equivariant completion II
Hideyasu Sumihiro · Kyoto journal of mathematics · 1975
e c te d f ib re s.T h e n Picom (S) ---Pic (G) /Pic (S ) i s a torsion group.i d e y asu Su 77 ihiro [6 ox a) ] * ( L''')EA. (1.x i* ( L r a )[0-01,23] * ( L,-)H ence, th e o b stru ctio n (it x 1, ) * (0 ). [pt (0) o (10 x o-)* ( 0)] -1 for the commutativity o f th e a b o v e d ia g ra m is in Isom a p 2 o x i n * (Lm) = H° ( G x G x X , OLG X ) .Before com puting the obstruction, let us S S recall som e lem m as due to M .Raynaud ( [9] Cor.VII. 1 ,2 a n d Prop. VII. 1. 3) .Lem m a 1. 3.