Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy ; Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy
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.