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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Representability of the tensor functor with a vector space

Let $k$ be a field and $V$ a vector space over $k$. Does anybody know a proof of the fact that the functor of $k$-algebras $$ R \longmapsto V \otimes_k R $$ is not representable by a scheme when $V$ h …
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