Abstract
We show how to use all the machinery of liaison techniques for the study of two-codimensional subschemes of a smooth arithmetically Gorenstein subscheme ofP n.
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References
M. Atiyah: On the Krull-Schmidt Theorem with Applicaitons to Sheaves. Bull. Soc. Math. France84 (1956), 307–317
E. Arrondo and I. Sols: Classification of smooth congruences of low degree. J. reine angew. Math.393 (1989), 199–219
E. Ballico, G. Bolondi and J. C. Migliore: The Lazarsfeld-Rao problem for two-codimensional subschemes ofP n. Amer. J. Math.113 (1991), 117–128
G. Bolondi and J. C. Migliore: The structure of an even liaison class. Trans. Amer. Math. Soc.316, 1 (1989), 1–37
G. Bolondi and J. C. Migliore: Configurations of linear projective subvarieties. In: Algebraic curves and projective geometry, Proceedings Trento 1988, Lecture Notes in Mathematics1389; Springer-Verlag (1989), pp. 19–32
G. Bolondi and R. M. Miró-Roig: Deformations of Arithmetically Cohen-Macaulay subvarieties ofP n. Manuscr. Math.64 (1989), 205–211
M. C. Chang: A filtered Bertini-type theorem. J. reine Angew. Math.397 (1989), 214–219
L. Chiantini and F. Orecchia: Plane Sections of Arithmetically Normal Curves inP 3. In: Algebraic Curves and Projective Geometry, Proceedings Trento 1988, Lecture Notes in Mathematics1389, Springer-Verlag (1989), pp. 32–42
C. Ciliberto, A. V. Geramita and F. Orecchia: Remarks on a thereom of Hilbert-Burch Boll. U.M.I. (7),2-B (1988), 463–483
A. V. Geramita and J. C. Migliore: Hyperplan sections of a smooth curve inP 3. Comm. in Alg.17 (1989), 3129–3164
A. V. Geramita and J. C. Migliore: Generalized Liaison Addition (preprint)
L. Gruson and Chr. Peskine: Genre des courbes de l'espace projectif (1). In: Algebraic Geometry, Proceedings Tromsø, Norway, 1977, pp. 31–59. Springer Lect. Notes in Mat.687; Springer
R. Hartshorne and Ogus: On the factoriality of local rings of small embedding codimension. Comm. in Alg. (1974)
R. Lazarsfeld and A. P. Rao: Linkage of general curves of large degree. In: Algebraic Geometry-Open problems. Proceedings Ravello 1982, pp. 267–289 Springer Lect. Notes in Math.997; Springer
J. C. Migliore: Geometric invariants for liaison of space curves. J. Algebra99-2 (1986), 548–572
J. C. Migliore: Liaison of a union of skew lines inP 4. Pac. J. Math.130-1 (1987), 153–170
M. Martin-Deschamps and D. Perrin: Sur la classification des courbes gauches. Astérisque,184–185
S. MacLane: Homology. Springer-Verlag, Berlin 1963
R. Maggioni and A. Ragusa: The Hilbert function of generic plane sections of curves inP 3. Inv. Math.91 (1988), 253–258
Ch. Peskine and L. Szpiro: Liaison des variétés algébriques, I, Invent. Math.26 (1974), 271–302
A. P. Rao: Liaison among Curves inP 3, Invent. Math.50 (1979), 205–217
A. P. Rao: Liaison equivalence classes. Math. Ann.258 (1981) 169–173
A. P. Rao: Notes of a seminar held in Catania, by S. Giuffrida and R. Maggioni.
P. Sauer: Smoothing projectively Cohen-Macaulay space curves. Math. Ann.275 (1985), 83–90
P. Schenzel: Notes on liaison and duality. J. Math. Kyoto Univ.22 (3) (1982) 485–498
P. Schwartau: Liaison Addition and Monomial Ideals. Ph.D. thesis, Brandeis University (1982)
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Bolondi, G., Migliore, J.C. The lazarsfeld-rao property on an arithmetically gorenstein variety. Manuscripta Math 78, 347–368 (1993). https://doi.org/10.1007/BF02599318
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DOI: https://doi.org/10.1007/BF02599318