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Subadjoint ideals and hyperplane sections

Authors: Nadia Chiarli and Silvio Greco
Journal: Proc. Amer. Math. Soc. 124 (1996), 1035-1041
MSC (1991): Primary 14C20, 13C13
MathSciNet review: 1301015
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Abstract: We study the behaviour of the notion of ``sub-adjoint ideal to a projective variety" with respect to general hyperplane sections. As an application we show that the two classical definitions of sub-adjoint hypersurface given respectively by Enriques and Zariski are equivalent.

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Additional Information

Nadia Chiarli
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy

Silvio Greco
Affiliation: Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy

Keywords: Sub-adjoint hypersurface, conductor, hyperplane section
Received by editor(s): April 25, 1994
Received by editor(s) in revised form: October 11, 1994
Additional Notes: Work partially supported by GNSAGA-CNR and MURST.
Dedicated: In memory of Mario Raimondo
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1996 American Mathematical Society