References
Amasaki, M.: On the structure of arithmetically Buchsbaum curves in ℙ 3 k . Publ. Res. Inst. Math. Sci.20, 793–837 (1984)
Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J.: Geometry of algebraic curves, Vol. I. Grundlehren der mathematischen Wissenschaften 267. Berlin, Heidelberg, New York: Springer 1985
Bayer, D., Stillman, M.: On the complexity of computing syzygies. Preprint, Columbia University, New York, 1985
Bresinsky, H., Schenzel, P., Vogel, W.: On liaison, arithmetical Buchsbaum curves and monomial curves in ℙ3. J. Algebra86, 283–301 (1984)
Cavaliere, M.P., Niesi, G.: Sulle equazioni di una curva monomiale proiettiva. Ann. Univ. Ferrara30, 89–96 (1984)
Davis, E.D., Geramita, A.V., Maroscia, P.: Perfect homogeneous ideals: Dubreil's theorems revisited. Bull. Sci. Math. (2)108, 143–185 (1984)
Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity. J. Algebra88, 89–133 (1984)
Flenner, H.: Die Sätze von Bertini für lokale Ringe. Math. Ann.229, 97–111 (1977)
Griffiths, P.A., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978
Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo, and the equations defining space curves. Invent. Math.72, 491–506 (1983)
Maroscia, P.: Some problems and results on finite sets of points in ℙn. In: Algebraic geometry-open problems. Proc. Conf. Ravello, Italy 1982. Lecture Notes in Mathematics, Vol. 997, pp. 290–314. Berlin, Heidelberg, New York: Springer 1983
Maroscia, P., Vogel, W.: On the defining equations of points in general position in ℙn. Math. Ann.269, 183–189 (1984)
Ooishi, A.: Castelnuovo's regularity of graded rings and modules. Hiroshima Math. J.12, 627–644 (1982)
Peskine, C., Szpiro, L.: Liaison des variétés algébriques. I. Invent. Math.26, 271–302 (1974)
Stückrad, J., Vogel, W.: On Segre products and applications. J. Algebra54, 374–389 (1978)
Stückrad, J., Vogel, W.: Buchsbaum rings and applications. An interaction between algebra, geometry and topology. Berlin: VEB Deutscher Verlag der Wissenschaften. Berlin, Heidelberg, New York: Springer 1986
Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. I. Math. Ann.261, 141–153 (1982)
Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. II. Duke Math. J.48, 35–47 (1981)
Trung, N.G.: Bounds for the minimum numbers of generators of generalized Cohen-Macaulay ideals. J. Algebra90, 1–9 (1984)
Vogel, W.: Lectures on results on Bézout's theorem. (Notes by D. P. Patil.) Lecture notes of the Tata Institute of Fundamental Research, Bombay, No. 74. Berlin, Heidelberg, New York: Springer 1984
Author information
Authors and Affiliations
Additional information
This author would like to thank the Mathematics Department of the Martin-Luther-University (Halle) for their kind hospitality during the preparation of this work
Rights and permissions
About this article
Cite this article
Maroscia, P., Stückrad, J. & Vogel, W. Upper bounds for the degrees of the equations defining locally Cohen-Macaulay schemes. Math. Ann. 277, 53–65 (1987). https://doi.org/10.1007/BF01457277
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01457277