Geodesic
On the Canonical Module of A 0-Dimensional Scheme
Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 357-379

Voir la notice de l'article provenant de la source Cambridge University Press

The main topic of this paper is to give characterizations of geometric properties of O-dimensional subschemes in terms of the algebraic structure of the canonical module of their projective coordinate ring. We characterize Cayley- Bacharach, (higher order) uniform position, linearly and higher order general position properties, and derive inequalities for the Hilbert functions of such schemes. Finally we relate the structure of the canonical module to properties of the minimal free resolution of X.
DOI : 10.4153/CJM-1994-018-5
Mots-clés : 14C99, 13C05 
Kreuzer, Martin. On the Canonical Module of A 0-Dimensional Scheme. Canadian journal of mathematics, Tome 46 (1994) no. 2, pp. 357-379. doi: 10.4153/CJM-1994-018-5
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[E] [E] Eisenbud, D., Linear sections of ‘determinants varieties, Amer. J. Math. 110(1988), 541–575. Google Scholar

[EG] [EG] Eisenbud, D. and S. Goto, Linear free resolutions and minimal multiplicity, J. Algebra 88(1984), 89–133. Google Scholar

[EH] [EH] Eisenbud, D. and Harris, J., Finite projective schemes in linearly general position, J. Algebraic Geom. 1(1992), 15–30. Google Scholar

[EK] [EK] Eisenbud, D. and Koh, J.-H., Remarks on points in a projective space. In: Commutative Algebra, Math. Sci. Res. Inst. Publ. 15, Springer, New York, 1989. Google Scholar

[G] [G] Gordon, W. J., A linear algebra proof of Clifford's theorem, Enseign. Math. 30(1984), 85–94. Google Scholar

[GKR] [GKR] Geramita, A. V., Kreuzerand, M. Robbiano, L., Cayley-Bacharach schemes and their canonical modules, Trans. Amer. Math. Soc. 339(1993), 163–189. Google Scholar

[GW] [GW] Goto, S. and Watanabe, K., On graded rings I, J. Math. Soc. Japan 30(1978), 179–213. Google Scholar

[H] [H] Harris, J., The genus of space curves, Math. Ann. 249(1980), 191–204. Google Scholar

[HE] [HE] Harris, J., (with the collaboration of D. Eisenbud), Curves in projective space, Sém. Math. Sup., Université de Montreal, 1982. Google Scholar

[Kl] [Kl] Kreuzer, M., On 0-dimensional complete intersections, Math. Ann. 292(1992), 43–58. Google Scholar

[K2] [K2] Kreuzer, M., VektorbundelundderSatz von Cayley-Bacharach,RegQnsburgQrMath. Schriften 21, Universitât Regensburg, 1989. Google Scholar

[KK] [KK] Kreuzer, M. and Kunz, E., Traces in strict Frobenius algebras and strict complete intersections, J. Reine Angew. Math. 381(1987), 181–204. Google Scholar

[L] [L] Lorenzini, A., Betti numbers of perfect homogeneous ideals, J. Pure Appl. Algebra 60(1989), 273–288. Google Scholar

[R] [R] Rathmann, J., The uniform position principle for curves in characteristic p, Math. Ann. 276(1987), 565- 576. Google Scholar

[S] [S] Schenzel, P., UberdiefreienAuflôsungenextremalerCohen-MacaulayRinge, J. Algebra 64(1980), 93–101. Google Scholar

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