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Equivalent birational embeddings

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DOI: 10.1112/blms/bdn107
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arXiv
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Abstract

Let $X$ be a projective variety of dimension $r$ over an algebraically closed field. It is proven that two birational embeddings of $X$ in $\P^n$, with $n\geq r+2$ are equivalent up to Cremona transformations of $\P^n$.

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