Tropical independence II: The maximal rank conjecture for quadrics
Algebraic Geometry
2016-10-19 v2
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.
Keywords
Cite
@article{arxiv.1505.05460,
title = {Tropical independence II: The maximal rank conjecture for quadrics},
author = {David Jensen and Sam Payne},
journal= {arXiv preprint arXiv:1505.05460},
year = {2016}
}
Comments
30 pages, 13 figures. v2: Removed characteristic zero hypothesis from Theorem 1.2, minor expository improvements