Polygonal cycles in higher Chow groups of Jacobians

The aim of this paper is to construct non-trivial cycles in the first higher Chow group of the Jacobian of a curve having special torsion points. The basic tool is to compute the analogue of the Griffiths' infinitesimal invariant of the natural normal function defined by the cycle as the curve...

Descripción completa

Detalles Bibliográficos
Autores: Naranjo del Val, Juan Carlos, Pirola, Gian Pietro, Zucconi, Francesco
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2004
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/199660
Acceso en línea:https://hdl.handle.net/2445/199660
Access Level:acceso abierto
Palabra clave:Cicles algebraics
Geometria algebraica
Corbes algebraiques
Algebraic cycles
Algebraic geometry
Algebraic curves
id ES_812264e008ebadfacbb331f5034c2e6b
oai_identifier_str oai:recercat.cat:2445/199660
network_acronym_str ES
network_name_str España
repository_id_str
spelling Polygonal cycles in higher Chow groups of JacobiansNaranjo del Val, Juan CarlosPirola, Gian PietroZucconi, FrancescoCicles algebraicsGeometria algebraicaCorbes algebraiquesAlgebraic cyclesAlgebraic geometryAlgebraic curvesThe aim of this paper is to construct non-trivial cycles in the first higher Chow group of the Jacobian of a curve having special torsion points. The basic tool is to compute the analogue of the Griffiths' infinitesimal invariant of the natural normal function defined by the cycle as the curve moves in the corresponding moduli space. We prove also a Torelli-like theorem. The case of genus 2 is considered in the last section.Springer Verlag2023202320042023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion13 p.application/pdfhttps://hdl.handle.net/2445/199660Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió postprint del document publicat a: https://doi.org/10.1007/s10231-003-0095-zAnnali di Matematica Pura ed Applicata, 2004, vol. 183, num. 3, p. 387-399https://doi.org/10.1007/s10231-003-0095-z(c) Springer Verlag, 2004info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1996602026-05-29T05:05:01Z
dc.title.none.fl_str_mv Polygonal cycles in higher Chow groups of Jacobians
title Polygonal cycles in higher Chow groups of Jacobians
spellingShingle Polygonal cycles in higher Chow groups of Jacobians
Naranjo del Val, Juan Carlos
Cicles algebraics
Geometria algebraica
Corbes algebraiques
Algebraic cycles
Algebraic geometry
Algebraic curves
title_short Polygonal cycles in higher Chow groups of Jacobians
title_full Polygonal cycles in higher Chow groups of Jacobians
title_fullStr Polygonal cycles in higher Chow groups of Jacobians
title_full_unstemmed Polygonal cycles in higher Chow groups of Jacobians
title_sort Polygonal cycles in higher Chow groups of Jacobians
dc.creator.none.fl_str_mv Naranjo del Val, Juan Carlos
Pirola, Gian Pietro
Zucconi, Francesco
author Naranjo del Val, Juan Carlos
author_facet Naranjo del Val, Juan Carlos
Pirola, Gian Pietro
Zucconi, Francesco
author_role author
author2 Pirola, Gian Pietro
Zucconi, Francesco
author2_role author
author
dc.subject.none.fl_str_mv Cicles algebraics
Geometria algebraica
Corbes algebraiques
Algebraic cycles
Algebraic geometry
Algebraic curves
topic Cicles algebraics
Geometria algebraica
Corbes algebraiques
Algebraic cycles
Algebraic geometry
Algebraic curves
description The aim of this paper is to construct non-trivial cycles in the first higher Chow group of the Jacobian of a curve having special torsion points. The basic tool is to compute the analogue of the Griffiths' infinitesimal invariant of the natural normal function defined by the cycle as the curve moves in the corresponding moduli space. We prove also a Torelli-like theorem. The case of genus 2 is considered in the last section.
publishDate 2004
dc.date.none.fl_str_mv 2004
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/199660
url https://hdl.handle.net/2445/199660
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1007/s10231-003-0095-z
Annali di Matematica Pura ed Applicata, 2004, vol. 183, num. 3, p. 387-399
https://doi.org/10.1007/s10231-003-0095-z
dc.rights.none.fl_str_mv (c) Springer Verlag, 2004
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Springer Verlag, 2004
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 13 p.
application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869411950878785536
score 15.811543

Similares en LA Referencia