Infinitesimal invariant and vector bundles
Algebraic Geometry
2007-05-23 v1
Abstract
We study the Saito-Ikeda infinitesimal invariant of the ccle defined by curves in their jacobians using rank (k+1) vector bundles and we give a criterion for which the higher cycle class map is not trivial. When k=2, this turns out to be strictly linked to the Petri map for vector bundles: an explicit construction on a curve of genus g>9 shows the existence of a non trivial element in the higher Griffiths group.
Cite
@article{arxiv.math/0612813,
title = {Infinitesimal invariant and vector bundles},
author = {Gian Pietro Pirola and Cecilia Rizzi},
journal= {arXiv preprint arXiv:math/0612813},
year = {2007}
}
Comments
17 pages; accepted for pubblication in Nagoya Math. Journal