Introduction to Tropical Geometry (notes from the IMPA lectures in Summer 2007)
arXiv:0709.1049
Abstract
These condensed notes treat some basic notions in Tropical Geometry (varieties, cycles, modifications, equivalence). These topics are to be extended, illustrated and included to the upcoming book project http://www.math.toronto.edu/mikha/book.pdf .
condensed notes (15 pages) from a 5 lecture minicourse