Singularities on the 2-dimensional Moduli Spaces of Stable Sheaves on K3 Surfaces
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چکیده
Matsuki and Wentworth [M-W] constructed the moduli space of w-twisted semi-stable sheaves E with v(E) = v. We denote it by M w H(v). If w = v(OX), then the v(OX)-twisted semi-stability is nothing but the usual Gieseker’s semi-stability. Hence we denote M v(OX) H (v) by MH(v). Assume that v is an isotropic Mukai vector. In [A], Abe considered the singularities of MH(v). Replacing MH(v) by M v H(v), we shall generalize Abe’s results:
منابع مشابه
A Note on the 2-dimensional Moduli Spaces of Stable Sheaves on K3 Surfaces
Matsuki and Wentworth [M-W] constructed the moduli space of w-twisted semi-stable sheaves E with v(E) = v. We denote it by M w H(v). If w = v(OX), then v(OX)-twisted semi-stability is nothing but the usual Gieseker’s semi-stability. Hence we denote M v(OX) H (v) by MH(v). Assume that v is an isotropic Mukai vector. In [A], Abe considered the singularities of MH(v). Replacing MH(v) by M v H(v), ...
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تاریخ انتشار 2002