Combinatorial tropical surfaces
Combinatorics
2015-06-08 v1 Algebraic Geometry
Abstract
We study the combinatorial properties of 2-dimensional tropical complexes. In particular, we prove tropical analogues of the Hodge index theorem and Noether's formula. In addition, we introduce algebraic equivalence for divisors on tropical complexes of arbitrary dimension.
Keywords
Cite
@article{arxiv.1506.02023,
title = {Combinatorial tropical surfaces},
author = {Dustin Cartwright},
journal= {arXiv preprint arXiv:1506.02023},
year = {2015}
}
Comments
29 pages, 5 figures. This is an expansion of sections 5 and 6 of arXiv:1308.3813v1