Infinite-dimensional Lie algebras and the period map for curves

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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}.

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