Local cohomology of Segre product type rings
- Autores: Paul C. Roberts
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 652-665
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2014.05.019
- Enlaces
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Resumen
One of the main questions in the study of local cohomology of normal domains that are not Cohen–Macaulay is whether the local cohomology of the ring in degrees less than the dimension of the ring is almost zero in an integral extension of the ring. Many examples of non-Cohen–Macaulay normal domains are of Segre product type. In this paper we show that the local cohomology in degrees less that the dimension of the ring for these rings is indeed almost zero in an integral extension.
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