English

Brief introduction to tropical geometry

Algebraic Geometry 2015-02-23 v1 Combinatorics

Abstract

The paper consists of lecture notes for a mini-course given by the authors at the G\"okova Geometry \& Topology conference in May 2014. We start the exposition with tropical curves in the plane and their applications to problems in classical enumerative geometry, and continue with a look at more general tropical varieties and their homology theories.

Keywords

Cite

@article{arxiv.1502.05950,
  title  = {Brief introduction to tropical geometry},
  author = {Erwan Brugallé and Ilia Itenberg and Grigory Mikhalkin and Kristin Shaw},
  journal= {arXiv preprint arXiv:1502.05950},
  year   = {2015}
}

Comments

75 pages, 37 figures, many examples and exercises

R2 v1 2026-06-22T08:34:11.430Z