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Mustafin degenerations

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Abstract

A Mustafin degeneration is a degeneration of a flag variety induced by a configuration of vertices in the Bruhat-Tits building of the projective linear group over a field with a non-archimedean discrete valuation. In the case where the flag type is projective space, Mustafin degenerations have been studied previously. We generalize the construction to the case of arbitrary flag types and study the behavior of the components of the special fiber under a natural projection morphism between Mustafin degenerations, which arises from the inclusion of flags.

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  1. Institut für Mathematik, Goethe-Universität, 60325 , Frankfurt am Main, Germany

    Mathias Häbich

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  1. Mathias Häbich
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Correspondence to Mathias Häbich.

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Häbich, M. Mustafin degenerations. Beitr Algebra Geom 55, 243–252 (2014). https://doi.org/10.1007/s13366-013-0147-5

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  • DOI: https://doi.org/10.1007/s13366-013-0147-5

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