The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles

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In this paper we give a geometrical interpretation of an extension of mixed Hodge structures (MHS) obtained from the canonical MHS on the group ring of the fundamental group of a hyperelliptic curve modulo the fourth power of its augmentation ideal. We show that the class of this extension coincides with the regulator image of a canonical higher cycle in a hyperelliptic jacobian. This higher cycle was introduced and studied by Collino.
22 pages, 3 figures. To appear in: Journal of Algebraic Geometry

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Algebraic Geometry, Primary 14C30; Secondary 14C25,14H30

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http://salesiana.dossiersoluciones.com/handle/123456789/63200

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201244
 http://arxiv.org/abs/math/0201244

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arXiv