Non-effective Deformations of Grothendieck's Hilbert Functor
classification
🧮 math.AG
keywords
functorhilbertschemealgebraicclosedcriteriondeformationsfamilies
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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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