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On the smoothness of the moduli space of mathematical instanton bundles

Published online by Cambridge University Press:  04 December 2007

ROSA M. MIRO-ROIG  and
JAVIER A. ORUS-LACORT
ROSA M. MIRO-ROIG
Affiliation:
Dept. Algebra y Geometría, Facultad de Matemáticas, Universidad de Barcelona, 08007 Barcelona, spain, e-mail: micro at cerber.ub.es; e-mail: orus at cerber.ub.es
JAVIER A. ORUS-LACORT
Affiliation:
Dept. Algebra y Geometría, Facultad de Matemáticas, Universidad de Barcelona, 08007 Barcelona, spain, e-mail: micro at cerber.ub.es; e-mail: orus at cerber.ub.es
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Abstract

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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.

Keywords

Instanton bundlesmoduli spaces
Type
Research Article
Information
Compositio Mathematica , Volume 105 , Issue 1 , January 1997 , pp. 109 - 119
Copyright
© 1997 Kluwer Academic Publishers