Polygonal cycles in higher Chow groups of Jacobians

dc.contributor.author
Naranjo del Val, Juan Carlos
dc.contributor.author
Pirola, Gian Pietro
dc.contributor.author
Zucconi, Francesco
dc.date.issued
2023-06-22T09:57:30Z
dc.date.issued
2023-06-22T09:57:30Z
dc.date.issued
2004-08-01
dc.date.issued
2023-06-22T09:57:30Z
dc.identifier
0373-3114
dc.identifier
https://hdl.handle.net/2445/199660
dc.identifier
523917
dc.description.abstract
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.
dc.format
13 p.
dc.format
application/pdf
dc.language
eng
dc.publisher
Springer Verlag
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1007/s10231-003-0095-z
dc.relation
Annali di Matematica Pura ed Applicata, 2004, vol. 183, num. 3, p. 387-399
dc.relation
https://doi.org/10.1007/s10231-003-0095-z
dc.rights
(c) Springer Verlag, 2004
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Cicles algebraics
dc.subject
Geometria algebraica
dc.subject
Corbes algebraiques
dc.subject
Algebraic cycles
dc.subject
Algebraic geometry
dc.subject
Algebraic curves
dc.title
Polygonal cycles in higher Chow groups of Jacobians
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion


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