Stable Sheaves of Rank 2 on a 3-Dimensional Rational Scroll
نویسندگان
چکیده
منابع مشابه
Rank-3 Stable Bundles on Rational Ruled Surfaces
In this paper, we compare the moduli spaces of rank-3 vector bundles stable with respect to diierent ample divisors over rational ruled surfaces. We also discuss the irreducibility, unirationality, and rationality of these moduli spaces.
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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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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(...
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ژورنال
عنوان ژورنال: Tokyo Journal of Mathematics
سال: 1990
ISSN: 0387-3870
DOI: 10.3836/tjm/1270132264