Let 𝒞⊆ℙ r K be a non-degenerate projective curve of degree d>r+1 of maximal regularity so that 𝒞 has an extremal secant line . We show that 𝒞∪ is arithmetically Cohen Macaulay if d<2r−1 and we study the Betti numbers and the Hartshorne-Rao module of the curve 𝒞.
KeywordsBetti Number Projective Curve Maximal Regularity Secant Line Projective Curf
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