Geometric Monodromy around the Tropical Limit
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=∞ in terms of tropical geometry. The main tool is the tropical localization introduced by Mikhalkin.
- Publication:
-
SIGMA
- Pub Date:
- June 2016
- DOI:
- 10.3842/SIGMA.2016.061
- arXiv:
- arXiv:1509.00175
- Bibcode:
- 2016SIGMA..12..061Y
- Keywords:
-
- tropical geometry;
- monodromy;
- Mathematics - Algebraic Geometry;
- 14T05
- E-Print:
- SIGMA 12 (2016), 061, 23 pages