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

Bibcode
2002math......1244C
Colombo, Elisabetta
Bibliographical reference

eprint arXiv:math/0201244

Advertised on:
1
2002
Number of authors
1
IAC number of authors
0
Citations
0
Refereed citations
0
Description
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.
Type
Non-refereed

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