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Krull-tropical hypersurfaces (Q2430115)

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Krull-tropical hypersurfaces
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    Krull-tropical hypersurfaces (English)
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    5 April 2011
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    This paper studies tropicalizations of hypersurfaces over a field with an arbitrary valuation in any group and proves the analogue of Kapranov's theorem [\textit{M. Einsiedler, M. Kapranov} and \textit{D. Lind}, J. Reine Angew. Math. 601, 139--157 (2006; Zbl 1115.14051)] for this situation.
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    tropical hypersurfaces
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    Kapranov's theorem
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    valuations
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