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arXiv · 1509.00175

Geometric Monodromy around the Tropical Limit

Yuto Yamamoto
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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. 2015-09-01. Geometric Monodromy around the Tropical Limit. https://doi.org/10.3842/sigma.2016.061

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