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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Products of Ideals with Linear Resolution
verfasst von : A. Conca
Erschienen in: Advances in Algebra and Geometry
Verlag: Hindustan Book Agency
Enthalten in: Professional Book Archive
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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.