General Hilbert stacks and Quot schemes

Published 18 Jun 2013 in math.AG | (1306.4118v3)

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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