Introduction to Tropical Geometry (notes from the IMPA lectures in Summer 2007)

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

References in corpus (2)

• Tropical Geometry and its applications
• Enumeration of curves via floor diagrams

Cited by in corpus (8)

• On the tropical Torelli map
• Torelli theorem for graphs and tropical curves
• Tropical curves with a singularity in a fixed point
• Completions, Reversals, and Duality for Tropical Varieties
• Conifold transitions via affine geometry and mirror symmetry
• A categorification of U_T sl(1,1) and its tensor product representations
• Complete invariant geodesic metrics on outer spaces and Jacobian varieties of tropical curves
• Tropical Mirror