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.
|Titolo:||The mixed Hodge structure on the fundamental group of hyperelliptic curves and higher cycles|
|Autori interni:||COLOMBO, ELISABETTA|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
|Data di pubblicazione:||2002|
|Appare nelle tipologie:||01 - Articolo su periodico|