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arXiv · 1709.08442

Chern-Weil theory for line bundles with the family Arakelov metric

Michiel Jespers·Robin de Jong
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Abstract

We prove a result of Chern-Weil type for canonically metrized line bundles on one-parameter families of smooth complex curves. Our result generalizes a result due to J.I. Burgos Gil, J. Kramer and U. K\"uhn that deals with a line bundle of Jacobi forms on the universal elliptic curve over the modular curve with full level structure, equipped with the Petersson metric. Our main tool, as in the work by Burgos Gil, Kramer and K\"uhn, is the notion of a b-divisor.

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Michiel Jespers, Robin de Jong. 2017-09-25. Chern-Weil theory for line bundles with the family Arakelov metric. https://doi.org/10.1307/mmj/1564711314

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