Abstract
In a fundamental paper [Ara 2], Arakelov showed how to complete a family of curves over the ring of integers of a number field by introducing the components at infinity, and getting a divisor class group which in many ways plays the role of the Picard group on complete surfaces.
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© 1988 Springer Science+Business Media New York
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Lang, S. (1988). Hodge Index Theorem and the Adjunction Formula. In: Introduction to Arakelov Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1031-3_4
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DOI: https://doi.org/10.1007/978-1-4612-1031-3_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6991-5
Online ISBN: 978-1-4612-1031-3
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