Infinite-dimensional Lie algebras and the period map for curves

Abstract

We compute higher-order differentials of the period map for curves and show how they factor through the corresponding higher Kodaira-Spencer classes. Our approach is based on the infinitesimal equivariance of the period map, due to Arbarello and De Concini \cite{AD}.

arXiv comment36 pages, LaTeX. This corrects a reference in the earlier version

References in corpus (1)

• Higher-order differentials of the period map and higher Kodaira-Spencer classes

Cited by in corpus (2)

• Secondary Kodaira-Spencer classes and nonabelian Dolbeault cohomology
• Riemann reciprocity in higher dimensions