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Accepted version

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2004-08-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/199660

Polygonal cycles in higher Chow groups of Jacobians

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https://doi.org/10.1007/s10231-003-0095-z

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.

Subject

Cicles algebraics, Geometria algebraica, Corbes algebraiques

Subject (English)

Algebraic cycles, Algebraic geometry, Algebraic curves

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

NARANJO DEL VAL, Juan Carlos, PIROLA, Gian Pietro and ZUCCONI, Francesco. Polygonal cycles in higher Chow groups of Jacobians. Annali di Matematica Pura ed Applicata. 2004. Vol. 183, num. 3, pags. 387-399. ISSN 0373-3114. [consulted: 12 of August of 2026]. Available at: https://hdl.handle.net/2445/199660

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