Classification of quadruple Galois canonical covers I

In this article we classify quadruple Galois canonical covers of smooth surfaces of minimal degree. The classification shows that they are either non-simple cyclic covers or bi-double covers. If they are bi-double, then they are all fiber products of double covers. We construct examples to show that...

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Detalhes bibliográficos
Autores: Gallego Rodrigo, Francisco Javier, Purnaprajna, Bangere P.
Tipo de documento: artigo
Data de publicação:2008
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/49666
Acesso em linha:https://hdl.handle.net/20.500.14352/49666
Access Level:Acceso aberto
Palavra-chave:512.7
Calabi-Yau threefolds
General type
Algebraic-surfaces
C1(2)
Geometria algebraica
1201.01 Geometría Algebraica
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repository_id_str
spelling Classification of quadruple Galois canonical covers IGallego Rodrigo, Francisco JavierPurnaprajna, Bangere P.512.7Calabi-Yau threefoldsGeneral typeAlgebraic-surfacesC1(2)Geometria algebraica1201.01 Geometría AlgebraicaIn this article we classify quadruple Galois canonical covers of smooth surfaces of minimal degree. The classification shows that they are either non-simple cyclic covers or bi-double covers. If they are bi-double, then they are all fiber products of double covers. We construct examples to show that all the possibilities in the classification do exist. There are implications of this classification that include the existence of families with unbounded geometric genus, in sharp contrast with triple canonical covers, and families with unbounded irregularity, in sharp contrast with canonical covers of all other degrees. Together with the earlier known results on double and triple covers, a pattern emerges that motivates some general questions on the existence of higher degree canonical covers, some of which are answered in this article.American Mathematical SocietyUniversidad Complutense de Madrid20082008-10-0120082008-10-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49666reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/496662026-06-02T12:44:21Z
dc.title.none.fl_str_mv Classification of quadruple Galois canonical covers I
title Classification of quadruple Galois canonical covers I
spellingShingle Classification of quadruple Galois canonical covers I
Gallego Rodrigo, Francisco Javier
512.7
Calabi-Yau threefolds
General type
Algebraic-surfaces
C1(2)
Geometria algebraica
1201.01 Geometría Algebraica
title_short Classification of quadruple Galois canonical covers I
title_full Classification of quadruple Galois canonical covers I
title_fullStr Classification of quadruple Galois canonical covers I
title_full_unstemmed Classification of quadruple Galois canonical covers I
title_sort Classification of quadruple Galois canonical covers I
dc.creator.none.fl_str_mv Gallego Rodrigo, Francisco Javier
Purnaprajna, Bangere P.
author Gallego Rodrigo, Francisco Javier
author_facet Gallego Rodrigo, Francisco Javier
Purnaprajna, Bangere P.
author_role author
author2 Purnaprajna, Bangere P.
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Calabi-Yau threefolds
General type
Algebraic-surfaces
C1(2)
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Calabi-Yau threefolds
General type
Algebraic-surfaces
C1(2)
Geometria algebraica
1201.01 Geometría Algebraica
description In this article we classify quadruple Galois canonical covers of smooth surfaces of minimal degree. The classification shows that they are either non-simple cyclic covers or bi-double covers. If they are bi-double, then they are all fiber products of double covers. We construct examples to show that all the possibilities in the classification do exist. There are implications of this classification that include the existence of families with unbounded geometric genus, in sharp contrast with triple canonical covers, and families with unbounded irregularity, in sharp contrast with canonical covers of all other degrees. Together with the earlier known results on double and triple covers, a pattern emerges that motivates some general questions on the existence of higher degree canonical covers, some of which are answered in this article.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-10-01
2008
2008-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49666
url https://hdl.handle.net/20.500.14352/49666
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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 reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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