On Vanishing and Cofiniteness of Generalized Local Cohomology Modules |
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Authors: | S H Hassanzadeh |
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Institution: | 1. Institut de Mathematiques, Universite Paris 6 , Paris , France;2. Faculty of Mathematical Science and Computer , Tarbiat Moallem University , Tehran , Iran |
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Abstract: | Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In this article, we study the graded Lie algebra of the descending central series of the pure mapping class group of a 2-sphere. A simple presentation of this Lie algebra is obtained. |
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Keywords: | Cofiniteness Generalized local cohomology Spectral sequence |
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