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Infinitesimal Invariant and vector bundles

Published online by Cambridge University Press:  11 January 2016

Gian Pietro Pirola  and
Cecilia Rizzi
Gian Pietro Pirola
Affiliation:
Dipartimento di Matematica F. Casorati Università di Pavia viaFerrata 1, 27100Pavia Italygianpietro.pirola@unipv.it
Cecilia Rizzi
Affiliation:
Dipartimento di Matematica F. Brioschi Politecnico di Milano Piazza Leonardoda Vinci 32, 20133Milano Italycecilia.rizzi@polimi.it
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Abstract

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We study the Saito-Ikeda infinitesimal invariant of the cycle defined by curves in their Jacobians using rank k + 1 vector bundles. 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. In this case we can improve a result of Ikeda: an explicit construction on a curve of genus g ≥ 10 shows the existence of a non trivial element in the higher Griffiths group.

Keywords

14C2514H4014C15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 186 , 2007 , pp. 95 - 118
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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