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Advances in Algebra and Geometry pp 1–6Cite as

Products of Ideals with Linear Resolution

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Abstract

We will discuss the behavior of the Castelnuovo-Mumford regularity under certain operations on ideals and modules, like products or powers. In particular, we will see that reg(JM) can be larger than reg(M) + reg(I) even when I is an ideal of linear forms and M is a module with a linear resolution. On the other hand, we have shown that any product of ideals of linear forms has a linear resolution. We will also discuss the case of polymatroidal ideals.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universita’ di Genova, Via Dodecaneso 35, I-16146, Genova, Italia

    A. Conca

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  1. A. Conca
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C. Musili

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© 2003 Hindustan Book Agency

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Conca, A. (2003). Products of Ideals with Linear Resolution. In: Musili, C. (eds) Advances in Algebra and Geometry. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-12-5_1

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