On codimension two subvarieties of P6

Mathematics – Algebraic Geometry

Scientific paper

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23 pages (Latex)

Scientific paper

We prove the following: (a) Let X be a smooth, codimension two subvariety of
P6. If X lies on a hyperquintic or if deg(X)<74, then X is a complete
intersection. (b) Let X be a smooth, subcanonical threefold in P5. If X lies on
a hyperquartic, then X is a complete intersection.

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