Draft:Maximal rank conjecture

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Let  $C\subset$ ${\mathbb{P}}^r$ be a general curve of genus g embedded via a general linear series of degree d. The Maximal Rank Conjecture asserts that the restriction maps $H^0({𝒪}_{{\mathbb{P}}^r}(m))\to H^0({𝒪}_{ℂ}(m))$ are of maximal rank; this determines the Hilbert function of $C$.

Its first proof was published by Eric Larson on 14 Nov 2017.