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Hodge Index Theorem and the Adjunction Formula

In: Introduction to Arakelov Theory

Author

Listed:
  • Serge Lang

    (Yale University, Department of Mathematics)

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.

Suggested Citation

  • Serge Lang, 1988. "Hodge Index Theorem and the Adjunction Formula," Springer Books, in: Introduction to Arakelov Theory, chapter 0, pages 70-101, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1031-3_4
    DOI: 10.1007/978-1-4612-1031-3_4
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