Hadamard products of hypersurfaces |
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| Institution: | 1. Department of Information Engineering and Mathematics, University of Siena, Via Roma, 56, Siena, Italy;2. Department of Mathematical Sciences, Politecnico di Torino, Corso Duca degli Abruzzi 24, Turin, Italy;1. Department of Mathematics and Computer Science, Eindhoven University of Technology, De Groene Loper 5, 5612 AZ, Eindhoven, Netherlands;2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090, Wien, Austria;1. Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38123 Povo (Trento), Italy;2. Universidad Austral de Chile, Instituto de Ciencias Físicas y Matemáticas, Edificio Emilio Pugin, Campus Isla Teja, 5090000 Valdivia, Chile;1. Department of Mathematics, Swansea University, Swansea University Bay Campus, Fabian Way, Swansea SA1 8EN, UK;2. Faculty of Mathematics, University of Bia?ystok, K. Cio?kowskiego 1M, 15-245 Bia?ystok, Poland;3. Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK;4. Département de Mathématique, Université Libre de Bruxelles, Bd du Triomphe, B-1050 Brussels, Belgium |
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| Abstract: | In this paper we characterize hypersurfaces for which their Hadamard product is still a hypersurface Then we study hypersurfaces and, more generally, varieties which are idempotent under Hadamard powers. |
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| Keywords: | 14M99 |
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