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Products of ideals of linear forms in quadric hypersurfaces. (English) Zbl 1442.13034

Summary: A. Conca and J. Herzog [Collect. Math. 54, No. 2, 137–152 (2003; Zbl 1074.13004)] proved that any product of ideals of linear forms in a polynomial ring has a linear resolution. The goal of this paper is to establish the same result for any quadric hypersurface. The main tool we develop and use is a flexible version of H. Derksen and J. Sidman’s [Adv. Math. 188, No. 1, 104–123 (2004; Zbl 1062.13003)] approximation systems.

MSC:

13D02 Syzygies, resolutions, complexes and commutative rings
13D05 Homological dimension and commutative rings

Software:

Macaulay2; CoCoA
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Full Text: DOI arXiv

References:

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