The genus of space curves
Tóm tắt
LetC be a curve contained in ℙ
3
(k of any characteristic), which is locally Cohen-Macaulay, not contained in a plane and of degreed. We prove thatp
a
(C)≤≤((d−2)(d−3))/2. Moreover we show existence of curves with anyd, p
a
satisfying this inequality and we characterize those curves for which equality holds.
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