Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-05T04:24:38.139Z Has data issue: false hasContentIssue false
  • English
  • Français

The de Rham Bundle on a Compactification of Moduli Space of Abelian Varieties

Published online by Cambridge University Press:  04 December 2007

Jaya N. Iyer
Jaya N. Iyer
Affiliation:
FB6, Mathematik, Universitat GH Essen, 45117 Essen, Germany. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we show that the Chern classes ck of the de Rham bundle ${\cal H}_{{\rm d}R}$ defined on any ‘good’ toroidal compactification $\bar{\cal A}_g$ of the moduli space of Abelian varieties of dimension g are zero in the rational Chow ring of $\bar{\cal A}_g$, for g = 4, 5 and k>0.

Keywords

Chern classesChow groupsPrym varieties
Type
Research Article
Information
Compositio Mathematica , Volume 136 , Issue 3 , May 2003 , pp. 317 - 321
Copyright
© 2003 Kluwer Academic Publishers