Geometric Monodromy around the Tropical Limit
Abstract
Let {V_q}_{q} be a complex oneparameter 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
 EPrint:
 SIGMA 12 (2016), 061, 23 pages