QUOT AND HILBERT SPACES Contents

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چکیده

The purpose of this chapter is to write about Quot and Hilbert functors and to prove that these are algebraic spaces provided certain technical conditions are satisfied. In this chapter we will discuss this in the setting of algebraic space. A reference is Grothendieck’s lectures, see [Gro95a], [Gro95b], [Gro95e], [Gro95f], [Gro95c], and [Gro95d]. Another reference is the paper [OS03]; this paper discusses the more general case of Quot and Hilbert spaces associated to a morphism of algebraic stacks which we will discuss in another chapter, see (insert future reference here).

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تاریخ انتشار 2015