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Double covers of Pn as very ample divisors

Published online by Cambridge University Press:  22 January 2016

Antonio Lanteri
Affiliation:
Dipartimento di Matematica “F. Enriques”-Università, Via C. Saldini, 50 1-20133 Milano, Italy, LANTERI@VMIMAT.MAT.UNIMI.IT, APELLES@VMIMAT.MAT.UNIMI.IT
Marino Palleschi
Affiliation:
Dipartimento di Matematica “F. Enriques”-Università, Via C. Saldini, 50 1-20133 Milano, Italy, LANTERI@VMIMAT.MAT.UNIMI.IT, APELLES@VMIMAT.MAT.UNIMI.IT
Andrew J. Sommese
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, INDIANA 46556, U. S. A., sommese@hobbes.math.nd.edu
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The classical subject of surfaces containing a hyperelliptic curve (here a double cover of P1) among their hyperplane sections was settled some years ago by the third author and Van de Ven [SV] (see also [Se], [Io]). This paper is devoted to answering the following general question arising very naturally from that problem.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

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