The Hilbert stack

被引：12

作者：

Hall, Jack ^{[1
]}

Rydh, David ^{[2
]}

机构：

[1] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

[2] KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden

来源：

ADVANCES IN MATHEMATICS | 2014年 / 253卷

关键词：

Hilbert stack; Non-separated; Pushouts; Generalized Stein factorizations; MODULI SPACES; DEFORMATIONS;

D O I：

10.1016/j.aim.2013.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let pi : X -> S be a morphism of algebraic stacks that is locally of finite presentation with affine stabilizers. We prove that there is an algebraic S-stack-the Hilbert stack-parameterizing proper algebraic stacks mapping quasi-finitely to X. This was previously unknown, even for a morphism of schemes. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：194 / 233

页数：40

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