Hodge Index Theorem and the Adjunction Formula

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter IV in Introduction to Arakelov Theory, 1988, pp 70-101 from Springer

Abstract: 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.

Keywords: Line Sheaf; Residue Theorem; Canonical Sheaf; Cartier Divisor; Horizontal Curve (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1031-3_4

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DOI: 10.1007/978-1-4612-1031-3_4

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