English

A specialization inequality for tropical complexes

Algebraic Geometry 2021-07-01 v2

Abstract

We prove a specialization inequality relating the dimension of the complete linear series on a variety to the tropical complex of a regular semistable degeneration. Our result extends Baker's specialization inequality to arbitrary dimension.

Keywords

Cite

@article{arxiv.1511.00650,
  title  = {A specialization inequality for tropical complexes},
  author = {Dustin Cartwright},
  journal= {arXiv preprint arXiv:1511.00650},
  year   = {2021}
}

Comments

30 pages, 3 figures. v1: Split off of arXiv:1308.3813v1. v2: Expanded exposition of tropical complexes

R2 v1 2026-06-22T11:35:03.230Z