Combinatorial and inductive methods for the tropical maximal rank conjecture
Algebraic Geometry
2025-01-07 v2
Abstract
We produce new combinatorial methods for approaching the tropical maximal rank conjecture, including inductive procedures for deducing new cases of the conjecture on graphs of increasing genus from any given case. Using explicit calculations in a range of base cases, we prove this conjecture for the canonical divisor, and in a wide range of cases for m=3, extending previous results for m=2.
Keywords
Cite
@article{arxiv.1609.01602,
title = {Combinatorial and inductive methods for the tropical maximal rank conjecture},
author = {David Jensen and Sam Payne},
journal= {arXiv preprint arXiv:1609.01602},
year = {2025}
}
Comments
16 pages v2: minor revisions, corrected typos. To appear in J. Combin. Theory Ser. A