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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96551
On the minimal free resolution of $n+1$ general forms
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We give very good bounds on the graded Betti numbers in many other cases. We also extend a result of M. Boij by giving the graded Betti numbers for a generic compressed Gorenstein algebra (i.e., one for which the Hilbert function is maximal, given $n$ and the socle degree) when $n$ is even and the socle degree is large. A recurring theme is to examine when and why the minimal free resolution may be forced to have redundant summands. We conjecture that if the forms all have the same degree, then there are no redundant summands, and we present some evidence for this conjecture.
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MIGLIORE, Juan C. (Juan Carlos) and MIRÓ-ROIG, Rosa M. (Rosa Maria). On the minimal free resolution of $n+1$ general forms. Transactions of the American Mathematical Society. 2003. Vol. 355, num. 1-36. ISSN 0002-9947. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/96551