Non-degenerate Curves with Maximal Hartshorne-rao Module
نویسنده
چکیده
Extending results for space curves we establish bounds for the cohomology of a non-degenerate curve in projective n-space. As a consequence, for any given n we determine all possible pairs (d, g) where d is the degree and g is the (arithmetic) genus of the curve. Furthermore, we show that curves attaining our bounds always exist and describe properties of these extremal curves. In particular, we determine the HartshorneRao module, the generic initial ideal and the graded Betti numbers of an extremal curve.
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