Hom stacks

被引：21
作者：
Aoki, M [1 ]
机构：
[1] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan
来源：
MANUSCRIPTA MATHEMATICA | 2006年 / 119卷 / 01期
关键词：
D O I：
10.1007/s00229-005-0602-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Hom 2-functors parameterizing 1-morphisms of algebraic stacks, and prove that they are representable by algebraic stacks under certain conditions, using Artin's criterion. As an application we study Picard 2-functors which parameterize line bundles on algebraic stacks.
引用
收藏
页码：37 / 56
页数：20
相关论文
共 24 条
[1]   Deformation theory of algebraic stacks [J].
Aoki, M .
COMPOSITIO MATHEMATICA, 2005, 141 (01) :19-34
[2]   VERSAL DEFORMATIONS AND ALGEBRAIC STACKS [J].
ARTIN, M .
INVENTIONES MATHEMATICAE, 1974, 27 (03) :165-189
[3]  
Artin M., 1969, Global Analysis, P21
[4]  
DELIGNE P, 1974, I HAUTES ETUDES SCI, V44, P237
[5]  
DIEUDONNE J, 1961, I HAUTES ETUDES SCI, V24
[6]  
DIEUDONNE J, 1961, I HAUTES ETUDES SCI, V17
[7]  
DIEUDONNE J, 1961, I HAUTES ETUDES SCI, V20
[8]  
DIEUDONNE J, 1961, I HAUTES ETUDES SCI, V32
[9]  
Dieudonne J., 1961, I HAUTES ETUDES SCI, V4
[10]  
DIEUDONNE J, 1961, I HAUTES ETUDES SCI, V28
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