Geometric monodromy around the tropical limit (Q726537)

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Geometric monodromy around the tropical limit
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    Geometric monodromy around the tropical limit (English)
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    11 July 2016
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    From the author's abstract: The author considers a complex one-parameter family \(\{ V_q\} _q\) of smooth hypersurfaces in a toric variety. He describes the monodromy transformation of \(\{ V_q\} _q\) at \(\infty\) in terms of tropical geometry. (In tropical geometry one uses the standard non-Archimedean valuation for Laurent series.) The main tool used by the author is the tropical localization introduced by \textit{G. Mikhalkin} [Topology 43, No. 5, 1035--1065 (2004; Zbl 1065.14056)].
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    tropical geometry
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    monodromy
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