Journal article

General Hilbert Stacks and Quot Schemes

Jack Hall, David Rydh

MICHIGAN MATHEMATICAL JOURNAL | MICHIGAN MATHEMATICAL JOURNAL | Published : 2015

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.

University of Melbourne Researchers

Grants

Awarded by Swedish Research Council


Funding Acknowledgements

This collaboration was supported by the Goran Gustafsson foundation. The second author is also supported by the Swedish Research Council 2011-5599.