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1 results

  • On the smoothness of the moduli space of mathematical instanton bundles

  • ROSA M. MIRO-ROIG, JAVIER A. ORUS-LACORT
  • Journal:
    Compositio Mathematica / Volume 105 / Issue 1 / January 1997
    Published online by Cambridge University Press:
    04 December 2007, pp. 109-119
    Print publication:
    January 1997
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  • In this paper we prove that the moduli spaces $MI_{\scriptstyle {\bb P}^{2n+1}}(k)$ of mathematical instanton bundles on ${\bb P}^{2n+1}_{{\bb C}}$ with quantum number $k$ are singular for $n \geqslant 2$ and $k \geqslant 3$, giving a positive answer to a conjecture made by Ancona and Ottaviani in 1993.