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Hodge Index Theorem and the Adjunction Formula

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Introduction to Arakelov Theory
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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

  • eBook Packages: Springer Book Archive

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