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The Smoothening Process

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Néron Models

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

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Abstract

The smoothening process, in the form needed in the construction of Néron models, is presented in Sections 3.1 to 3.4. After we have explained the main assertion, we discuss the technique of blowing-up which is basic for obtaining smoothenings. The actual proof of the existence of smoothenings is carried out in Sections 3.3 and 3.4. As an application, we construct weak Néron models under appropriate conditions.

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© 1990 Springer-Verlag Berlin Heidelberg

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Bosch, S., Lütkebohmert, W., Raynaud, M. (1990). The Smoothening Process. In: Néron Models. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51438-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-51438-8_4

  • 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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