3-dimensional sundials

被引：14

作者：

Carlini, Enrico ^{[1
]}

Catalisano, Maria Virginia ^{[2
]}

Geramita, Anthony V. ^{[3
,4
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[2] Univ Genoa, Fac Ingn, DIPTEM Dipartimento Ingn Prod Termoenerget & Mode, I-16129 Genoa, Italy

[3] Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada

[4] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2011年 / 9卷 / 05期

关键词：

Hilbert functions; Subspace arrangements; Configuration of linear spaces; Degenerations; Castelnuovo's sequence; Specializations; SECANT VARIETIES; SEGRE VARIETIES; X P-1;

D O I：

10.2478/s11533-011-0054-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

R. Hartshorne and A. Hirschowitz proved that a generic collection of lines on a"(TM) (n) , na parts per thousand yen3, has bipolynomial Hilbert function. We extend this result to a specialization of the collection of generic lines, by considering a union of lines and 3-dimensional sundials (i.e., a union of schemes obtained by degenerating pairs of skew lines).

引用

页码：949 / 971

页数：23

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