The Hilbert stack |
| |
| Authors: | Jack Hall David Rydh |
| |
| Institution: | 1. Mathematical Sciences Institute, The Australian National University, John Dedman Building 27, Union Lane, Canberra, ACT 0200, Australia;2. Department of Mathematics, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden |
| |
| Abstract: | Let π: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. |
| |
| Keywords: | primary 14C05 secondary 14A20 14D15 14D23 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
