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arXiv · 1609.01602

Combinatorial and inductive methods for the tropical maximal rank conjecture

David Jensen·Sam Payne
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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.

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David Jensen, Sam Payne. 2016-09-06. Combinatorial and inductive methods for the tropical maximal rank conjecture. https://arxiv.org/abs/1609.01602

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