Geometric Monodromy around the Tropical Limit

@article{Yamamoto2016GeometricMA,
  title={Geometric Monodromy around the Tropical Limit},
  author={Yuto Yamamoto},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2016},
  volume={12},
  pages={061}
}
  • Yuto Yamamoto
  • Published 1 September 2015
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
LetfVqgq 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 offVqgq around q =1 in terms of tropical geometry. The main tool is the tropical locali- zation introduced by Mikhalkin. 

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