Combinatorial and inductive methods for the tropical maximal rank conjecture
arXiv:1609.01602
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.
16 pages v2: minor revisions, corrected typos. To appear in J. Combin. Theory Ser. A