Bibcode
Colombo, Elisabetta
Referencia bibliográfica
eprint arXiv:math/0201244
Fecha de publicación:
1
2002
Número de citas
0
Número de citas referidas
0
Descripción
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.