Algebraicity of Hodge Loci for Variations of Hodge Structure

Autores
Cattani, Eduardo; Kaplan, Aroldo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge structures over curves and surfaces which, we hope, help clarify thearguments in [8], as well as some generalizations, consequences and conjecturesbased on those results.
Fil: Cattani, Eduardo. University of Massachusetts at Amherst. Amherst; Estados Unidos
Fil: Kaplan, Aroldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
Hodge
Algebraicity
Cycles
Locus
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:11336/32138
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Algebraicity of Hodge Loci for Variations of Hodge StructureCattani, EduardoKaplan, AroldoHodgeAlgebraicityCyclesLocushttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge structures over curves and surfaces which, we hope, help clarify thearguments in [8], as well as some generalizations, consequences and conjecturesbased on those results.Fil: Cattani, Eduardo. University of Massachusetts at Amherst. Amherst; Estados UnidosFil: Kaplan, Aroldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaAmerican 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/11336/32138Cattani, Eduardo; Kaplan, Aroldo; Algebraicity of Hodge Loci for Variations of Hodge Structure; American Mathematical Society; Contemporary Mathematics; 608; 10-20140271-4132CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://people.math.umass.edu/~cattani/hodgeloci_tcu.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:43:26Zoai:ri.conicet.gov.ar:11336/32138instacron: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:34982025-09-03 09:43:27.268CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Algebraicity of Hodge Loci for Variations of Hodge Structure
title Algebraicity of Hodge Loci for Variations of Hodge Structure
spellingShingle Algebraicity of Hodge Loci for Variations of Hodge Structure
Cattani, Eduardo
Hodge
Algebraicity
Cycles
Locus
title_short Algebraicity of Hodge Loci for Variations of Hodge Structure
title_full Algebraicity of Hodge Loci for Variations of Hodge Structure
title_fullStr Algebraicity of Hodge Loci for Variations of Hodge Structure
title_full_unstemmed Algebraicity of Hodge Loci for Variations of Hodge Structure
title_sort Algebraicity of Hodge Loci for Variations of Hodge Structure
dc.creator.none.fl_str_mv Cattani, Eduardo
Kaplan, Aroldo
author Cattani, Eduardo
author_facet Cattani, Eduardo
Kaplan, Aroldo
author_role author
author2 Kaplan, Aroldo
author2_role author
dc.subject.none.fl_str_mv Hodge
Algebraicity
Cycles
Locus
topic Hodge
Algebraicity
Cycles
Locus
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge structures over curves and surfaces which, we hope, help clarify thearguments in [8], as well as some generalizations, consequences and conjecturesbased on those results.
Fil: Cattani, Eduardo. University of Massachusetts at Amherst. Amherst; Estados Unidos
Fil: Kaplan, Aroldo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description These notes should be seen as a companion to [8], where thealgebraicity of the loci of Hodge classes is proven without appealing to theHodge conjecture. We give explicit detailed proofs in the case of variationsof Hodge structures over curves and surfaces which, we hope, help clarify thearguments in [8], as well as some generalizations, consequences and conjecturesbased on those results.
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/11336/32138
Cattani, Eduardo; Kaplan, Aroldo; Algebraicity of Hodge Loci for Variations of Hodge Structure; American Mathematical Society; Contemporary Mathematics; 608; 10-2014
0271-4132
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32138
identifier_str_mv Cattani, Eduardo; Kaplan, Aroldo; Algebraicity of Hodge Loci for Variations of Hodge Structure; American Mathematical Society; Contemporary Mathematics; 608; 10-2014
0271-4132
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://people.math.umass.edu/~cattani/hodgeloci_tcu.pdf
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
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score 13.13397

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