Tropical independence, II: The maximal rank conjecture for quadrics
David Jensen, Sam Payne · Algebra & Number Theory · 2016
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. MSC2010: primary 14H51