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Products of ideals of linear forms in quadric hypersurfaces

Commutative Algebra 2017-06-27 v1

Abstract

Conca and Herzog 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 Derksen and Sidman's approximation systems.

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Cite

@article{arxiv.1706.08066,
  title  = {Products of ideals of linear forms in quadric hypersurfaces},
  author = {Aldo Conca and Hop D. Nguyen and Thanh Vu},
  journal= {arXiv preprint arXiv:1706.08066},
  year   = {2017}
}

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14 pages