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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2016 Volume 12, 061, 23 pp. (Mi sigma1143)

Geometric Monodromy around the Tropical Limit

Yuto Yamamoto

Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914, Japan

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.

Keywords: tropical geometry; monodromy.

MSC: 14T05; 14D05

Received: September 2, 2015; in final form June 17, 2016; Published online June 24, 2016

Language: English

DOI: 10.3842/SIGMA.2016.061



Bibliographic databases:
ArXiv: 1509.00175


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