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disregardthat

Science Advisor

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Are there any methods for finding the minimal (or at least of smaller dimension) projective space P^n which can contain a given algebraic variety?

For example, some curves in P^2 are isomorphic to P^1, and so P^1 is the minimal space which can contain such a curve.

I am looking for something like an inverse segre-embedding (in some sense) or an inverse d-uple-embedding, only more general.

Any clues?

For example, some curves in P^2 are isomorphic to P^1, and so P^1 is the minimal space which can contain such a curve.

I am looking for something like an inverse segre-embedding (in some sense) or an inverse d-uple-embedding, only more general.

Any clues?

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