Points fattening on P1 x P1 and symbolic powers of bi-homogeneous ideals

被引：8
|
作者：
Baczynska, Magdalena [1 ]
Dumnicki, Marcin [2 ]
Habura, Agata [1 ]
Malara, Grzegorz [1 ]
Pokora, Piotr [1 ]
Szemberg, Tomasz [1 ]
Szpond, Justyna [1 ]
Tutaj-Gasinska, Halszka [2 ]
机构：
[1] Pedag Univ Cracow, Inst Math, PL-30084 Krakow, Poland
[2] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 08期
关键词：
FAT POINTS;
D O I：
10.1016/jjpaa.2013.12.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study symbolic powers of bi-homogeneous ideals of points in X =P-1 x P-1 and extend to this setting results on the effect of points fattening obtained in [2] and [4]. We prove a Chudnovsky-type theorem for bi-homogeneous ideals and apply it to classification of configurations of points with minimal or no fattening effect.
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页码：1555 / 1562
页数：8
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