Non-effective Deformations of Grothendieck's Hilbert Functor

Details Non-effective Deformations of Grothendieck's Hilbert Functor Non-effective Deformations of Grothendieck's Hilbert Functor

2006-03-20

arxiv.org/abs/math/0603473v2

Mathematics

Algebraic Geometry

8 pages Changed abstract. Fixed typos/grammatical errors. Shortened the introduction. Expanded and clarified Remark 1.9. Short

Scientific paper

Let X be a scheme that does not satisfy the valuative criterion of
separatedness. We show that the Hilbert functor parametrizing closed families
of X that are flat, finite and of rank one is not represented by a scheme or an
algebraic space.

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