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

Colombo, Elisabetta
Referencia bibliográfica

eprint arXiv:math/0201244

Fecha de publicación:
1
2002
Número de autores
1
Número de autores del IAC
0
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.