Cohomology of the Orlik-Solomon algebras

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Title: Cohomology of the Orlik-Solomon algebras
Author: Pearson, Kelly Jeanne, 1970-
Abstract: The Orlik-Solomon algebra of a hyperplane arrangement first appeared from the Brieskorn and Orlik-Solomon theorems as the cohomology of the complement of this arrangement (if the ground field is complex). Later, it was discovered that this algebra plays an important role in many other problems. In particular, define the cohomology of an Orlik-Solomon algebra as that of the complex formed by its homogeneous components with the differential defined via multiplication by an element of degree one. Cohomology of the Orlik-Solomon algebra is mostly studied in dimension one, and very little is known about the higher dimensions. We study this cohomology in higher dimensions.
Description: vii, 91 p. A print copy of this title is available through the UO Libraries under the call number: MATH QC20.7.H65 P43 2000
URI: http://hdl.handle.net/1794/141
Date: 2000


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