Restriction theorems for homogeneous bundles |
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Authors: | V.B. Mehta V. Trivedi |
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Affiliation: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India |
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Abstract: | ![]() We prove that for an irreducible representation , the associated homogeneous -vector bundle Wτ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in , 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. |
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Keywords: | 14D20 |
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