General Hilbert stacks and Quot schemes
Algebraic Geometry
2015-10-01 v3
Abstract
We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor and the stack of coherent sheaves on an algebraic stack X with (quasi-)finite diagonal without any finiteness assumptions on X. We also give similar results for Hom stacks and Weil restrictions.
Cite
@article{arxiv.1306.4118,
title = {General Hilbert stacks and Quot schemes},
author = {Jack Hall and David Rydh},
journal= {arXiv preprint arXiv:1306.4118},
year = {2015}
}
Comments
11 pages; corrected some minor errors; numbering changed in section 3; final version