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

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,...

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Detalles Bibliográficos
Autores: Ballico, E., Miró-Roig, Rosa M. (Rosa Maria)
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1999
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/7723
Acceso en línea:https://hdl.handle.net/2445/7723
Access Level:acceso abierto
Palabra clave:Varietats algebraiques
Espais fibrats (Matemàtica)
Surfaces and higher-dimensional varieties
Vector bundle
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spelling A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-foldsBallico, E.Miró-Roig, Rosa M. (Rosa Maria)Varietats algebraiquesEspais fibrats (Matemàtica)Surfaces and higher-dimensional varietiesVector bundleFix 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) = +∞ .American Mathematical Society200920091999info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion5 p.application/pdfapplication/pdfhttps://hdl.handle.net/2445/7723Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119552Proceedings of the American Mathematical Society, 1999, vol. 127, núm. 9, p. 2557-2560.(c) American Mathematical Society, 1999info:eu-repo/semantics/openAccessoai:recercat.cat:2445/77232026-05-29T05:05:01Z
dc.title.none.fl_str_mv A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
title A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
spellingShingle A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
Ballico, E.
Varietats algebraiques
Espais fibrats (Matemàtica)
Surfaces and higher-dimensional varieties
Vector bundle
title_short A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
title_full A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
title_fullStr A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
title_full_unstemmed A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
title_sort A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds
dc.creator.none.fl_str_mv Ballico, E.
Miró-Roig, Rosa M. (Rosa Maria)
author Ballico, E.
author_facet Ballico, E.
Miró-Roig, Rosa M. (Rosa Maria)
author_role author
author2 Miró-Roig, Rosa M. (Rosa Maria)
author2_role author
dc.subject.none.fl_str_mv Varietats algebraiques
Espais fibrats (Matemàtica)
Surfaces and higher-dimensional varieties
Vector bundle
topic Varietats algebraiques
Espais fibrats (Matemàtica)
Surfaces and higher-dimensional varieties
Vector bundle
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) = +∞ .
publishDate 1999
dc.date.none.fl_str_mv 1999
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/7723
url https://hdl.handle.net/2445/7723
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/119552
Proceedings of the American Mathematical Society, 1999, vol. 127, núm. 9, p. 2557-2560.
dc.rights.none.fl_str_mv (c) American Mathematical Society, 1999
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Mathematical Society, 1999
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 5 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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