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Proceedings of the American Mathematical Society

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Gorenstein algebras and the Cayley-Bacharach theorem

Authors: E. D. Davis, A. V. Geramita and F. Orecchia
Journal: Proc. Amer. Math. Soc. 93 (1985), 593-597
MSC: Primary 14M05; Secondary 13H10, 14M10
MathSciNet review: 776185
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Abstract: This paper is an examination of the connection between the classical Cayley-Bacharach theorem for complete intersections in $ {{\mathbf{P}}^2}$ and properties of graded Gorenstein algebras.

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Keywords: Arithmetically Cohen-Macaulay subschemes of $ {{\mathbf{P}}^n}$, Gorenstein, Cohen-Macaulay type, Cayley-Bacharach, Hilbert function, algebraic liaison, conductor
Article copyright: © Copyright 1985 American Mathematical Society