The degree of smooth non-arithmetically Cohen-Macaulay threefolds in $\textbf {P}^ 5$
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- by Rosa M. Miró-Roig PDF
- Proc. Amer. Math. Soc. 110 (1990), 311-313 Request permission
Abstract:
In [B], Banica considers the problem of determining the integers $d$ such that there are smooth threefolds which are not arithmetically Cohen-Macaulay. Moreover, he gives a partial answer to this question. In this note, using liaison, we will complete his answer.References
- Constantin Bănică, Smooth reflexive sheaves, Proceedings of the Colloquium on Complex Analysis and the Sixth Romanian-Finnish Seminar, 1991, pp. 571–593. MR 1172165
- Robin Hartshorne, Varieties of small codimension in projective space, Bull. Amer. Math. Soc. 80 (1974), 1017–1032. MR 384816, DOI 10.1090/S0002-9904-1974-13612-8 M. Beltrametti, M. Schneider, and A. Sommese, Threefolds of degree 9 and 10 in ${{\mathbf {P}}^5}$, preprint, 1989.
- C. Peskine and L. Szpiro, Liaison des variétés algébriques. I, Invent. Math. 26 (1974), 271–302 (French). MR 364271, DOI 10.1007/BF01425554
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 311-313
- MSC: Primary 14J30; Secondary 14M06
- DOI: https://doi.org/10.1090/S0002-9939-1990-1031451-6
- MathSciNet review: 1031451