On the Hilbert scheme of smooth curves of degree d=15 in P5

被引：0
|
作者：
Ballico, Edoardo [1 ]
Keem, Changho [2 ]
机构：
[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Trento, Italy
[2] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年
基金：
新加坡国家研究基金会;
关键词：
algebraic curves; arithmetically Cohen-Maaculay; Hilbert scheme; linear series; Severi variety; LINE BUNDLES; INTERPOLATION; GONALITY;
D O I：
10.1017/prm.2024.130
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We denote by H-d,H-g,H-r the Hilbert scheme of smooth curves, which is the union of components whose general point corresponds to a smooth, irreducible, andnon-degenerate curve of degreed and genusg in P (R). In this article, we study H(15,g,5 )for every possible genusg and determine when it is irreducible. We also study themoduli map H-15,H-g,H-5 -> M-g and several key properties such as gonality of a generalelement as well as characterizing smooth elements of each component.
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页数：38
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