English

Geometric Monodromy around the Tropical Limit

Algebraic Geometry 2016-06-27 v2

Abstract

Let {Vq}q\{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 {Vq}q\{V_q\}_q around q=q=\infty in terms of tropical geometry. The main tool is the tropical localization introduced by Mikhalkin.

Keywords

Cite

@article{arxiv.1509.00175,
  title  = {Geometric Monodromy around the Tropical Limit},
  author = {Yuto Yamamoto},
  journal= {arXiv preprint arXiv:1509.00175},
  year   = {2016}
}
R2 v1 2026-06-22T10:46:06.751Z