Let _ 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 _ are of maximal rank; this determines the Hilbert function of _.[1]
Its first proof was published by Eric Larson on 14 Nov 2017.[2]
References
edit- ^ Larson, Eric (1 August 2020). "The Maximal Rank Conjecture for sections of curves". Journal of Algebra. 555: 223–245. arXiv:1208.2730. doi:10.1016/j.jalgebra.2020.03.006. ISSN 0021-8693.
- ^ Larson, Eric (18 September 2018), The Maximal Rank Conjecture, arXiv:1711.04906
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