Algebraic and Combinatorial Aspects of Tropical Geometry

Erwan Brugallé, Universite Pierre et Marie Curie (Paris 6), France. Mariá Angélica Cueto, Columbia University, New York, NY, USA, and Goethe-Universitat Frankfurt, Frankfurt am Main, Germany. Alicia Dickenstein, Universidad de Buenos Aires, Argentina. Eva-Maria Feichtner, University of Bremen, Germany. Ilia Itenberg, Universite Pierre et Marie Curie (Paris 6), France.

Table of Contents:

Intersection multiplicity numbers between tropical hypersurfaces by B. Bertrand and F. Bihan
On the total curvature of tropical hypersurfaces by B. Bertrand, L. L. de Medrano, and J.-J. Risler
Tropical Teichmuller and Siegel spaces by M. Chan, M. Melo, and F. Viviani
Elliptic curves in honeycomb form by M. Chan and B. Sturmfels
Tropically unirational varieties by J. Draisma and B. Frenk
A guide to tropicalizations by W. Gubler
Categorical notions of layered tropical algebra and geometry by Z. Izhakian, M. Knebusch, and L. Rowen
Tropical realization spaces for polyhedral complexes by E. Katz
Local tropicalization by P. Popescu-Pampu and D. Stepanov
Some acyclic systems of permutations are not realizable by triangulations of a product of simplices by F. Santos
Tropical $(1,1)$-homology for floor decomposed surfaces by K. M. Shaw