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arXiv · 1306.4118

General Hilbert stacks and Quot schemes

Jack Hall·David Rydh
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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.

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Jack Hall, David Rydh. 2013-06-18. General Hilbert stacks and Quot schemes. https://doi.org/10.1307/mmj/1434731927

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