# Linearly Normal Curves in P^n

Serdica Mathematical Journal (2004)

- Volume: 30, Issue: 2-3, page 349-362
- ISSN: 1310-6600

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topPasarescu, 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 -

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