Geometric Monodromy around the Tropical Limit

Published 1 Sep 2015 in math.AG | (1509.00175v2)

Abstract: Let ${V_q}_{q}$ be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of ${V_q}_q$ around $q=\infty$ in terms of tropical geometry. The main tool is the tropical localization introduced by Mikhalkin.

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Yuto Yamamoto

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