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.
Citation
David Jensen. Sam Payne. "Tropical independence, II: The maximal rank conjecture for quadrics." Algebra Number Theory 10 (8) 1601 - 1640, 2016. https://doi.org/10.2140/ant.2016.10.1601
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