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3 results

  • ON MAXIMALLY FROBENIUS DESTABILISED VECTOR BUNDLES

  • Part of
  • LINGGUANG LI
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 99 / Issue 2 / April 2019
    Published online by Cambridge University Press:
    04 January 2019, pp. 195-202
    Print publication:
    April 2019
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  • Let $X$ be a smooth projective curve of genus $g\geq 2$ over an algebraically closed field $k$ of characteristic $p>0$. We show that for any integers $r$ and $d$ with $0<r<p$, there exists a maximally Frobenius destabilised stable vector bundle of rank $r$ and degree $d$ on $X$ if and only if $r\mid d$.

  • ON AN EXAMPLE OF MUKAI

  • H. LANGE, V. MERCAT, P. E. NEWSTEAD
  • Journal:
    Glasgow Mathematical Journal / Volume 54 / Issue 2 / May 2012
    Published online by Cambridge University Press:
    12 December 2011, pp. 261-271
    Print publication:
    May 2012
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  • In this paper we use an example of Mukai to construct semistable bundles of rank 3 with six independent sections on a general curve of genus 9 or 11 with Clifford index strictly less than the Clifford index of the curve. The example also allows us to show the non-emptiness of some Brill–Noether loci with negative expected dimension.

  • Moduli spaces of orthogonal and symplectic bundles over an algebraic curve

  • Part of
  • Olivier Serman
  • Journal:
    Compositio Mathematica / Volume 144 / Issue 3 / May 2008
    Published online by Cambridge University Press:
    01 May 2008, pp. 721-733
    Print publication:
    May 2008
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  • We prove that, given a smooth projective curve C of genus g≥2, the forgetful morphism (respectively ) from the moduli space of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles over C is an embedding. Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups.