On the number of components of the moduli schemes of stable torsion-free sheaves on integral curves

Ballico, E.

doi:10.1090/S0002-9939-97-04216-0

On the number of components of the moduli schemes of stable torsion-free sheaves on integral curves
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Proc. Amer. Math. Soc. 125 (1997), 2819-2824 Request permission

Abstract:

Here we give an upper bound for the number of irreducible components of the moduli scheme of stable rank $r$ torsion-free sheaves of fixed degree on the integral curve $X$. This bound depends only on $r$, $\mathrm {Sing}(X), p_a(X)$ and the corresponding number for the rank 1 case.

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