Birationally very ample line bundles on smooth curves
نویسنده
چکیده
For all integers r ≥ 2 and any smooth and connected projective curve X, let ρX(r) denote the minimal integer d such that there is a morphism φ : X → P birational onto its image and such that deg(φ(X)) = d and φ(X) spans Pr. Fix integers d, g such that d ≥ 8 and d2/6 < g ≤ d2/4−d. Here we prove the existence of a smooth genus g curveX such that ρX(3) = d. Mathematics Subject Classification: 14H50; 14H51
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تاریخ انتشار 2006