Geodesic
Linearly Normal Curves in P^n
Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 349-362.

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We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In the present paper we apply the same idea to the curves lying on some rational surfaces from P^n, constructed in [12, 3, 2] (see [13, 14] also).
Keywords: Linearly Normal Curves, Rational Surfaces 
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Pasarescu, Ovidiu. Linearly Normal Curves in P^n. Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 349-362. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a12/