MathDBMaximal Rank Conjecture for the restriction maps
Maximal Rank Conjecture for the restriction maps
Let the restriction maps be those in Theorem, and let . The paper reports that no counterexamples were found in the tested range . Maximal Rank Conjecture. The restriction maps in Theorem have maximal rank for all . This is proposed because the computations found no failures below the stated threshold; the general assertion remains open in the source.
Sources & referencesView supporting material
Primary source
Thomas Bauer, Sandra Di Rocco, David Schmitz, Tomasz Szemberg and Justyna Szpond, “On the postulation of lines and a fat line”, arXiv:1706.02350 (2017).
Progress summary
No verified progress on this conjecture was found; only finite computations support it, and the general assertion remains open.
No relevant proof, counterexample, verification, or claimed settlement of this exact conjecture was found. A similarly named conjecture for restriction maps of general Brill–Noether curves was proved by Eric Larson in 2017, with a 2018 exposition, but the retrieved sources do not identify those maps with the maps here or address the threshold .
Current status (as of August 2026): the conjecture remains open; only the reported computations for , with no detected counterexamples, are settled.
Sources
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