منابع مشابه
Arrangements and Local Systems
We use stratified Morse theory to construct a complex to compute the cohomology of the complement of a hyperplane arrangement with coefficients in a complex rank one local system. The linearization of this complex is shown to be the Aomoto complex of the arrangement. Using this result, we establish the relationship between the cohomology support loci of the complement and the resonance varietie...
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For a triple of complex hyperplane arrangements, there is a wellknown long exact sequence relating the cohomology of the complements. We observe that this result extends to certain local coefficient systems, and use this extension to study the characteristic varieties of arrangements. We show that the first characteristic variety may contain components that are translated by characters of any o...
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The mega trend individualization drives productmanufacturers towards offering more and more variants of theirproducts. As seen in mass customization scenarios, productconfiguration based on a modular strategy is an enabler for thistrend. The key idea of variant management is to optimize the number of product variants that can be offered to a specific market segment, i.e. outer v...
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متن کامل0 Local cohomology , arrangements of subspaces and monomial ideals
If k is the field of complex numbers (or, more generally, a field of characteristic zero), the module H i I(R) is known to have a module structure over the Weyl algebra An(k), and one can therefore consider its characteristic cycle, denoted CC(H i I(R)) in this paper (see e.g. [2, I.1.8.5]). On the other hand, the arrangement X defines a partially ordered set P (X) whose elements correspond to ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2000
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2000.v7.n3.a5