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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the resolution of certain graded algebras

Authors: M. P. Cavaliere, M. E. Rossi and G. Valla
Journal: Trans. Amer. Math. Soc. 337 (1993), 389-409
MSC: Primary 13D02; Secondary 14M99
MathSciNet review: 1110573
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Abstract: Let $ A = R/I$ be a graded algebra over the polynomial ring $ R = k[{X_0}, \ldots ,{X_n}]$. Some properties of the numerical invariants in a minimal free resolution of $ A$ are discussed in the case $ A$ is a "Short Graded Algebra". When $ A$ is the homogeneous coordinate ring of a set of points in generic position in the projective space, several result are obtained on the line traced by some conjectures proposed by Green and Lazarsfeld in [GL] and Lorenzini in [L1]

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Keywords: Resolutions of graded algebras, Koszul complex, points in generic position, minimal resolution conjecture, Green and Lazarsfeld conjecture
Article copyright: © Copyright 1993 American Mathematical Society