Restriction Theorems for Homogeneous Bundles
نویسندگان
چکیده
We prove that for an irreducible representation τ : GL(n) → GL(W ), the associated homogeneousP k -vector bundle Wτ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in P k , where k is an algebraically closed field of characteristic 6= 2, 3 respectively. In particular Wτ is semistable when restricted to general hypersurfaces of degree ≥ 2 and is strongly semistable when restricted to the k-generic hypersurface of degree ≥ 2.
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تاریخ انتشار 2005