Enumeration of Surfaces Containing an Elliptic Quartic Curve

Autores
Cukierman, Fernando Miguel; Lopez, A. F.; Vainsencher, I.
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.
Fil: Cukierman, Fernando Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Lopez, A. F.. Universita Di Roma; Italia
Fil: Vainsencher, I.. Universidade Federal do Minas Gerais; Brasil
Materia
Curva Eliptica
Teorema de Noether-Lefschetz
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/18745
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/18745
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Enumeration of Surfaces Containing an Elliptic Quartic CurveCukierman, Fernando MiguelLopez, A. F.Vainsencher, I.Curva ElipticaTeorema de Noether-Lefschetzhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.Fil: Cukierman, Fernando Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Lopez, A. F.. Universita Di Roma; ItaliaFil: Vainsencher, I.. Universidade Federal do Minas Gerais; BrasilAmerican Mathematical Society2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18745Cukierman, Fernando Miguel; Lopez, A. F.; Vainsencher, I.; Enumeration of Surfaces Containing an Elliptic Quartic Curve; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 10; 10-2014; 3305-33130002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1209.3335info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-2014-11998-8info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2014-142-10/S0002-9939-2014-11998-8/home.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:34:00Zoai:ri.conicet.gov.ar:11336/18745instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:34:00.545CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Enumeration of Surfaces Containing an Elliptic Quartic Curve
title Enumeration of Surfaces Containing an Elliptic Quartic Curve
spellingShingle Enumeration of Surfaces Containing an Elliptic Quartic Curve
Cukierman, Fernando Miguel
Curva Eliptica
Teorema de Noether-Lefschetz
title_short Enumeration of Surfaces Containing an Elliptic Quartic Curve
title_full Enumeration of Surfaces Containing an Elliptic Quartic Curve
title_fullStr Enumeration of Surfaces Containing an Elliptic Quartic Curve
title_full_unstemmed Enumeration of Surfaces Containing an Elliptic Quartic Curve
title_sort Enumeration of Surfaces Containing an Elliptic Quartic Curve
dc.creator.none.fl_str_mv Cukierman, Fernando Miguel
Lopez, A. F.
Vainsencher, I.
author Cukierman, Fernando Miguel
author_facet Cukierman, Fernando Miguel
Lopez, A. F.
Vainsencher, I.
author_role author
author2 Lopez, A. F.
Vainsencher, I.
author2_role author
author
dc.subject.none.fl_str_mv Curva Eliptica
Teorema de Noether-Lefschetz
topic Curva Eliptica
Teorema de Noether-Lefschetz
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.
Fil: Cukierman, Fernando Miguel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Lopez, A. F.. Universita Di Roma; Italia
Fil: Vainsencher, I.. Universidade Federal do Minas Gerais; Brasil
description A very general surface of degree at least four in P 3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in P 3 of degree at least five which contain some elliptic quartic curve. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula.
publishDate 2014
dc.date.none.fl_str_mv 2014-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/18745
Cukierman, Fernando Miguel; Lopez, A. F.; Vainsencher, I.; Enumeration of Surfaces Containing an Elliptic Quartic Curve; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 10; 10-2014; 3305-3313
0002-9939
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18745
identifier_str_mv Cukierman, Fernando Miguel; Lopez, A. F.; Vainsencher, I.; Enumeration of Surfaces Containing an Elliptic Quartic Curve; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 10; 10-2014; 3305-3313
0002-9939
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1209.3335
info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-2014-11998-8
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2014-142-10/S0002-9939-2014-11998-8/home.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv 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 reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1848597094054494208
score 13.24909

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