Sections hyperplanes et endomorphismes de l'espace projectif |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology Guwahati, North Guwahati, Guwahati-781039, Assam, India;2. Department of Mathematics, Indian Institute of Technology Guwahati, Assam, PIN-781039, India;1. Department of Mathematics, University of Paris VIII, F-93526 Saint-Denis, France;2. Laboratory Analysis, Geometry and Applications, LAGA, University Sorbonne Paris Nord, CNRS, UMR 7539, F-93430, Villetaneuse, France;3. Telecom Paris, Polytechnic institute of Paris, 91120 Palaiseau, France;1. Department of Mathematics and Informatics, University of Perugia, Perugia, Italy;2. Université Paris 8, Laboratoire de Géométrie, Analyse et Applications, LAGA, Université Sorbonne Paris Nord, CNRS, UMR 7539, France;3. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, Napoli, Italy |
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| Abstract: | 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 (which is not an automorphism) of the projective space, is linearly complete. We stress the case of smooth surfaces in P4. |
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