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Restriction theorems for homogeneous bundles
Authors:V.B. Mehta  V. Trivedi
Affiliation:School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
Abstract:
We prove that for an irreducible representation View the MathML source, the associated homogeneous View the MathML source-vector bundle Wτ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in View the MathML source, where k is an algebraically closed field of characteristic ≠2,3 respectively. In particular Wτ is semistable when restricted to general hypersurfaces of degree?2 and is strongly semistable when restricted to the generic hypersurface of degree?2.
Keywords:14D20
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