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Infinitesimal invariant and vector bundles

Gian Pietro Pirola·Cecilia Rizzi
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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.

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Gian Pietro Pirola, Cecilia Rizzi. 2006-12-28. Infinitesimal invariant and vector bundles. https://arxiv.org/abs/math/0612813

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