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March 2020 Chern–Weil Theory for Line Bundles with the Family Arakelov Metric
Michiel Jespers, Robin de Jong
Michigan Math. J. 69(1): 3-40 (March 2020). DOI: 10.1307/mmj/1564711314

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. Kühn 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 Kühn, is the notion of a b-divisor.

Citation

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Michiel Jespers. Robin de Jong. "Chern–Weil Theory for Line Bundles with the Family Arakelov Metric." Michigan Math. J. 69 (1) 3 - 40, March 2020. https://doi.org/10.1307/mmj/1564711314

Information

Received: 16 October 2017; Revised: 25 May 2018; Published: March 2020
First available in Project Euclid: 2 August 2019

zbMATH: 07208924
MathSciNet: MR4071344
Digital Object Identifier: 10.1307/mmj/1564711314

Subjects:
Primary: 14D05, 14D06, 14E05, 14G40, 32C30

Rights: Copyright © 2020 The University of Michigan

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Vol.69 • No. 1 • March 2020
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