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I am looking for a software that could help me calculate the Betti table of smooth curves. I was trying to use Macaulay2, but calculating Betti tables of smooth curves on that seems really hard and non-standard. Any help would be greatly appreciated.

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  • $\begingroup$ Are these plane curves? How are you realizing them? $\endgroup$
    – Ursula
    May 1, 2017 at 18:23
  • $\begingroup$ Well Betti tables of complete intersection curves are easy. I don't know what you mean by non-standard, but Betti tables of non- complete intersection curves are hard and only incompletely understood. For example there is the Green conjecture about the Betti table of a canonically embedded curve. When I think of Betti tables I think of the names Ein, Lazersfeld, and Erman. You should check out some of their papers. $\endgroup$
    – meh
    May 2, 2017 at 1:19

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