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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 061, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.061 (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
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DOI: https://doi.org/10.3842/SIGMA.2016.061
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.
Funding agency Grant number
Ministry of Education, Culture, Sports, Science and Technology, Japan
Received: September 2, 2015; in final form June 17, 2016; Published online June 24, 2016
Bibliographic databases:
Document Type: Article
MSC: 14T05; 14D05
Language: English
Citation: Yuto Yamamoto, “Geometric Monodromy around the Tropical Limit”, SIGMA, 12 (2016), 061, 23 pp.
Citation in format AMSBIB
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