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Jacobians of Relative Curves

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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE3,volume 21))

Abstract

The chapter consists of two parts. In the first four sections we study the represent-ability and structure of Pic X/S for a relative curve X over a base S. Then, in the last three sections, we work over a base S consisting of a discrete valuation ring R with field of fractions K and, applying these results, we investigate the relationship between Pic X/S and the Néron model of the Jacobian J K of the generic fibre X K .

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© 1990 Springer-Verlag Berlin Heidelberg

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Bosch, S., Lütkebohmert, W., Raynaud, M. (1990). Jacobians of Relative Curves. In: Néron Models. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51438-8_10

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  • DOI: https://doi.org/10.1007/978-3-642-51438-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08073-9

  • Online ISBN: 978-3-642-51438-8

  • eBook Packages: Springer Book Archive

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