Cohomological characterisation of Steiner bundles
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://ciencia.iscte-iul.pt/id/ci-pub-12725 http://hdl.handle.net/10071/14717 |
Resumo: | A vector bundle E on a smooth irreducible algebraic variety X is called a Steiner bundle of type (F0, F1) if it is defined by an exact sequence of the form where s, t ≥ 1 and (F0, F1) is a strongly exceptional pair of vector bundles on X such that is generated by global sections. Let X be a smooth irreducible projective variety of dimension n with an n-block collection , of locally free sheaves on X which generate D b(X-mod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ≤ a < b ≤ n and 1 ≤ i 0 ≤ ?a, 1 ≤ j0 ≤ ?b. |
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Cohomological characterisation of Steiner bundlesA vector bundle E on a smooth irreducible algebraic variety X is called a Steiner bundle of type (F0, F1) if it is defined by an exact sequence of the form where s, t ≥ 1 and (F0, F1) is a strongly exceptional pair of vector bundles on X such that is generated by global sections. Let X be a smooth irreducible projective variety of dimension n with an n-block collection , of locally free sheaves on X which generate D b(X-mod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ≤ a < b ≤ n and 1 ≤ i 0 ≤ ?a, 1 ≤ j0 ≤ ?b.Walter de Gruyter GmbH2017-11-28T09:31:28Z2009-01-01T00:00:00Z20092017-11-28T09:30:05Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/id/ci-pub-12725http://hdl.handle.net/10071/14717eng0933-774110.1515/FORUM.2009.043Miró-Roig, M.Soares, H.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:57:51Zoai:repositorio.iscte-iul.pt:10071/14717Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:29:57.708332Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Cohomological characterisation of Steiner bundles |
title |
Cohomological characterisation of Steiner bundles |
spellingShingle |
Cohomological characterisation of Steiner bundles Miró-Roig, M. |
title_short |
Cohomological characterisation of Steiner bundles |
title_full |
Cohomological characterisation of Steiner bundles |
title_fullStr |
Cohomological characterisation of Steiner bundles |
title_full_unstemmed |
Cohomological characterisation of Steiner bundles |
title_sort |
Cohomological characterisation of Steiner bundles |
author |
Miró-Roig, M. |
author_facet |
Miró-Roig, M. Soares, H. |
author_role |
author |
author2 |
Soares, H. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Miró-Roig, M. Soares, H. |
description |
A vector bundle E on a smooth irreducible algebraic variety X is called a Steiner bundle of type (F0, F1) if it is defined by an exact sequence of the form where s, t ≥ 1 and (F0, F1) is a strongly exceptional pair of vector bundles on X such that is generated by global sections. Let X be a smooth irreducible projective variety of dimension n with an n-block collection , of locally free sheaves on X which generate D b(X-mod). We give a cohomological characterisation of Steiner bundles of type on X, where 0 ≤ a < b ≤ n and 1 ≤ i 0 ≤ ?a, 1 ≤ j0 ≤ ?b. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-01-01T00:00:00Z 2009 2017-11-28T09:31:28Z 2017-11-28T09:30:05Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://ciencia.iscte-iul.pt/id/ci-pub-12725 http://hdl.handle.net/10071/14717 |
url |
https://ciencia.iscte-iul.pt/id/ci-pub-12725 http://hdl.handle.net/10071/14717 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0933-7741 10.1515/FORUM.2009.043 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Walter de Gruyter GmbH |
publisher.none.fl_str_mv |
Walter de Gruyter GmbH |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799134862055047168 |