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A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds

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dc.creator Ballico, E.
dc.creator Miró-Roig, Rosa M. (Rosa Maria)
dc.date 2009-04-14T08:20:24Z
dc.date 2009-04-14T08:20:24Z
dc.date 1999
dc.date.accessioned 2024-12-16T10:18:04Z
dc.date.available 2024-12-16T10:18:04Z
dc.identifier 1088-6826
dc.identifier http://hdl.handle.net/2445/7723
dc.identifier 147677
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/7050
dc.description 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) = +∞ .
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.publisher American Mathematical Society
dc.relation Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119552
dc.relation Proceedings of the American Mathematical Society, 1999, vol. 127, núm. 9, p. 2557-2560.
dc.rights (c) American Mathematical Society, 1999
dc.rights info:eu-repo/semantics/openAccess
dc.source Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject Varietats algebraiques
dc.subject Espais fibrats (Matemàtica)
dc.subject Surfaces and higher-dimensional varieties
dc.subject Vector bundle
dc.title A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/publishedVersion


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