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arxiv: math/0103202 · v1 · pith:WXTMXD7Cnew · submitted 2001-03-28 · 🧮 math.AG

Sections hyperplanes et endomorphismes de l'espace projectif

classification 🧮 math.AG
keywords projectivesmoothvarietyautomorphismcasecompletedimensionendomorphism
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We show that any hyperplane section of a variety which is the inverse image of a smooth variety of dimension at least 2 by an endomorphism (wich is not an automorphism) of the projective space, is linearly complete. We stress the case of smooth surfaces in projective fourspace.

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