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From Birational Group Laws to Group Schemes

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Book cover Néron Models

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

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Abstract

For the construction of Néron models, we need the fact that an S-birational group law on a smooth S-scheme with non-empty fibres can be birationally enlarged to a smooth S-group scheme; see 4.3/6. The purpose of the present section is to prove this result in the case where S is strictly henselian. In Chapter 6, the result will be extended to a more general base.

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© 1990 Springer-Verlag Berlin Heidelberg

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Bosch, S., Lütkebohmert, W., Raynaud, M. (1990). From Birational Group Laws to Group Schemes. In: Néron Models. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51438-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-51438-8_6

  • 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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