THE NEF CONES OF AND MINIMAL-DEGREE CURVES IN THE HILBERT SCHEMES OF POINTS ON CERTAIN SURFACES

被引：1

作者：

Qin, Zhenbo ^{[1
]}

Tu, Yuping ^{[2
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 284卷 / 02期

关键词：

nef cones; Hilbert schemes; ALGEBRAIC-FAMILIES;

D O I：

10.2140/pjm.2016.284.439

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the nef cones of the Hilbert schemes of points on certain surfaces X with h(1)(X, O-X) = 0. Then we apply the results to Hirzebruch surfaces, and study the minimal-degree curves in the Hilbert schemes of points on Hirzebruch surfaces. Our results generalize those in Li, Qin, and Zhang (2003).

引用

页码：439 / 453

页数：15

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