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Subadjoint ideals and hyperplane sections
Author(s):
Nadia
Chiarli;
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.
References:
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- G. Castelnuovo, Sui multipli di una serie lineare di gruppi di punti appartenenti ad una curva algebrica, Rend. Circ. Mat. Palermo 7 (1893), 89-110.
- [C1]
- N. Chiarli, A sharp Castelnuovo bound for the normalization of certain projective surfaces, in "Algebraic Geometry and Its Applications" (C. Bajaj, ed.), Springer-Verlag New York, Inc, 1994, pp. 145-151. MR 95c:14009
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- ------, Sub-adjoint Ideals to Projective Varieties, Ricerche Mat. (to appear).
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- F. Enriques:, Introduzione alla geometria sopra le superficie algebriche, Mem. Soc. Ital. Sci. detta dei 40, III serie 10 (1896), 1-81.
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- J.P. Jouanolou, Théorèmes de Bertini et Applications, Progr. in Math., vol. 42, Birk-
häuser, 1983. MR 86b:13007 - [M]
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- E. Stagnaro, Canonical and pluricanonical adjoints I, II, III (Preprints 1991,1992), 1991,
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- ------, Algebraic Surfaces, Springer-Verlag, 1971. MR 57:9695
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Additional Information:
Nadia
Chiarli
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy
Email:
CHIARLI@POLITO.IT
Silvio
Greco
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24 - 10129 Torino, Italy
Email:
SGRECO@POLITO.IT
DOI:
10.1090/S0002-9939-96-03126-7
PII:
S 0002-9939(96)03126-7
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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