Infinitesimal invariant and vector bundles

Details Infinitesimal invariant and vector bundles Infinitesimal invariant and vector bundles

2006-12-28

arxiv.org/abs/math/0612813v1

Mathematics

Algebraic Geometry

17 pages; accepted for pubblication in Nagoya Math. Journal

Scientific paper

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.

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