Linearly Normal Curves in P^n

Pasarescu, Ovidiu. "Linearly Normal Curves in P^n." Serdica Mathematical Journal 30.2-3 (2004): 349-362. <http://eudml.org/doc/219597>.

@article{Pasarescu2004,
abstract = {2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.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).Work partially supported from the CERES Program of the Romanian Ministry of Education and Research, Contract 152/2001 and EURROMMAT Contract.},
author = {Pasarescu, Ovidiu},
journal = {Serdica Mathematical Journal},
keywords = {Linearly Normal Curves; Rational Surfaces; rational surface; gap},
language = {eng},
number = {2-3},
pages = {349-362},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Linearly Normal Curves in P^n},
url = {http://eudml.org/doc/219597},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Pasarescu, Ovidiu
TI - Linearly Normal Curves in P^n
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 2-3
SP - 349
EP - 362
AB - 2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.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).Work partially supported from the CERES Program of the Romanian Ministry of Education and Research, Contract 152/2001 and EURROMMAT Contract.
LA - eng
KW - Linearly Normal Curves; Rational Surfaces; rational surface; gap
UR - http://eudml.org/doc/219597
ER -