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    • On some Frobenius Restriction Theorems for Semistable Sheaves

      V B Mehta V Trivedi

      Volume 119 Issue 1 February 2009 pp 109-118

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/01/0109-0118

    • Keywords

       

      Semistable bundles; Frobenius restriction theorem; generic hypersurface; general hypersurface; 𝑝-fold thickening.

    • Abstract

       

      We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic 𝑝. The main novelty is in restricting the bundle to the 𝑝-fold thickening of a hypersurface section. The base variety is $G/P$, an abelian variety or a smooth projective toric variety.

    • Author Affiliations

       

      V B Mehta1 V Trivedi1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

    • Dates

       
      Published
      February 2009
      Manuscript received
      12 December 2007
      Manuscript revised
      16 January 2009

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