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arXiv · 1505.05460

Tropical independence II: The maximal rank conjecture for quadrics

David Jensen·Sam Payne
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Abstract

Building on our earlier results on tropical independence and shapes of divisors in tropical linear series, we give a tropical proof of the maximal rank conjecture for quadrics. We also prove a tropical analogue of Max Noether's theorem on quadrics containing a canonically embedded curve, and state a combinatorial conjecture about tropical independence on chains of loops that implies the maximal rank conjecture for algebraic curves.

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David Jensen, Sam Payne. 2015-06-05. Tropical independence II: The maximal rank conjecture for quadrics. https://doi.org/10.2140/ant.2016.10.1601

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