Restriction theorems for homogeneous bundles

Mehta, V. B. ; Trivedi, V. (2007) Restriction theorems for homogeneous bundles Bulletin des Sciences Mathematiques, 131 (4). pp. 397-404. ISSN 0007-4497

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2006.06.001

Abstract

We prove that for an irreducible representation τ: GL(n) → GL(W), the associated homogeneous Pnk-vector bundle Wτ is strongly semistable when restricted to any smooth quadric or to any smooth cubic in Pnk, 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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Deposited On:20 Nov 2010 14:32
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