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Hyperplane arrangements and linear strands in resolutions

Author(s): Irena Peeva
Journal: Trans. Amer. Math. Soc. 355 (2003), 609-618.
MSC (2000): Primary 13D02
Posted: September 6, 2002
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Abstract: The cohomology ring of the complement of a central complex hyperplane arrangement is the well-studied Orlik-Solomon algebra. The homotopy group of the complement is interesting, complicated, and few results are known about it. We study the ranks for the lower central series of such a homotopy group via the linear strand of the minimal free resolution of the field $\mathbf{C}$ over the Orlik-Solomon algebra.

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Additional Information:

Irena Peeva
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication: Department of Mathematics, Cornell University, Malott Hall, Ithaca, New York 14853-4201

DOI: 10.1090/S0002-9947-02-03128-8
PII: S 0002-9947(02)03128-8
Received by editor(s): January 15, 1998
Received by editor(s) in revised form: December 21, 1998
Posted: September 6, 2002
Additional Notes: This work was partially supported by NSF
Copyright of article: Copyright 2002, American Mathematical Society

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