Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles

Detalhes bibliográficos
Autor(a) principal: Bradlow, S
Data de Publicação: 2018
Outros Autores: García Prada, O, Gothen, PB, Heinloth, J
Tipo de documento: Livro
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/125566
Resumo: We give necessary and sufficient conditions for moduli spaces of semi-stable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components of the nilpotent cone of GL n -Higgs bundles and the irreducible components of moduli of systems of Hodge bundles on curves. As we do not impose coprimality restrictions, we can apply this to prove connectedness for moduli spaces of U(p, q)-Higgs bundles. (c) Oxford University Press 2018.
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spelling Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundlesWe give necessary and sufficient conditions for moduli spaces of semi-stable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components of the nilpotent cone of GL n -Higgs bundles and the irreducible components of moduli of systems of Hodge bundles on curves. As we do not impose coprimality restrictions, we can apply this to prove connectedness for moduli spaces of U(p, q)-Higgs bundles. (c) Oxford University Press 2018.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/125566eng10.1093/oso/9780198802020.003.0018Bradlow, SGarcía Prada, OGothen, PBHeinloth, Jinfo: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:RCAAP2023-11-29T14:05:51Zoai:repositorio-aberto.up.pt:10216/125566Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:54:41.356487Repositório 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 Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
title Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
spellingShingle Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
Bradlow, S
title_short Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
title_full Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
title_fullStr Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
title_full_unstemmed Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
title_sort Irreducibility of moduli of semi-stable chains and applications to U(P, q)-Higgs bundles
author Bradlow, S
author_facet Bradlow, S
García Prada, O
Gothen, PB
Heinloth, J
author_role author
author2 García Prada, O
Gothen, PB
Heinloth, J
author2_role author
author
author
dc.contributor.author.fl_str_mv Bradlow, S
García Prada, O
Gothen, PB
Heinloth, J
description We give necessary and sufficient conditions for moduli spaces of semi-stable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components of the nilpotent cone of GL n -Higgs bundles and the irreducible components of moduli of systems of Hodge bundles on curves. As we do not impose coprimality restrictions, we can apply this to prove connectedness for moduli spaces of U(p, q)-Higgs bundles. (c) Oxford University Press 2018.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/book
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/125566
url https://hdl.handle.net/10216/125566
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1093/oso/9780198802020.003.0018
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.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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