Titlebook: Commutative Algebra, Singularities and Computer Algebra; Proceedings of the N Jürgen Herzog,Victor Vuletescu Conference proceedings 2003 Sp

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The Dawn of Soviet Influence in Egyptin this paper. If . A/m is alge- braically closed and .≥. then Χ. is infinite. In contrast, for each field . which is not algebraically closed and for each integer . ≥ 0, there exists a Noetherian complete equi-characteristic local integral domain A with dim A = d such that (1) the normalization of

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Victor Zaslavsky,Robert J. BrymThese are distinguished by their arithmetical genus, their Hartshorne-Rao module and their homological behavior. The classification is done by computations of the cohomology of certain divisors on the surface scroll. Finally several illustrating examples are discussed.

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The Evolution of , with the Soviet Union,onstruct a family of non- isomorphic indecomposable modules of G-dimension zero with parameters in an open subset of pro- jective space. We shall finally show that the subcategory consisting of modules of G-dimension zero over . is not necessarily a contravariantly finite subcategory in the category

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1568-2609 Overview: 978-1-4020-1487-1978-94-007-1092-4Series ISSN 1568-2609

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https://doi.org/10.1057/9780230598423ups of affine complex hyperplane arrangement complements is introduced and explored..This approach gives in particular new upper-bounds for the dimension of the twisted cohomology groups of line arrangement complements in the complex affine plane.

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