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Title: | A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds |
Author: | Ballico, E. Miró-Roig, Rosa M. (Rosa Maria) |
Keywords: | Varietats algebraiques Espais fibrats (Matemàtica) Surfaces and higher-dimensional varieties Vector bundle |
Issue Date: | 1999 |
Publisher: | American Mathematical Society |
Abstract: | Fix a smooth projective 3-fold X, c1, H ∈ Pic(X) with H ample, and d ∈ Z. Assume the existence of integers a, b with a ≠ 0 such that ac1 is numerically equivalent to bH. Let M(X, 2, c1, d, H) be the moduli scheme of H-stable rank 2 vector bundles, E, on X with c1(E) = c1 and c2(E) · H = d. Let m(X, 2, c1, d, H) be the number of its irreducible components. Then lim supd→ ∞m(X, 2, c1, d, H) = +∞ . |
Note: | Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119552 |
It is part of: | Proceedings of the American Mathematical Society, 1999, vol. 127, núm. 9, p. 2557-2560. |
URI: | http://hdl.handle.net/2445/7723 |
ISSN: | 1088-6826 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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