Hyperplane arrangements and linear strands in resolutions

Author:
Irena Peeva

Journal:
Trans. Amer. Math. Soc. **355** (2003), 609-618

MSC (2000):
Primary 13D02

Published electronically:
September 6, 2002

MathSciNet review:
1932716

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Abstract | References | Similar Articles | Additional Information

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 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:
https://doi.org/10.1090/S0002-9947-02-03128-8

Received by editor(s):
January 15, 1998

Received by editor(s) in revised form:
December 21, 1998

Published electronically:
September 6, 2002

Additional Notes:
This work was partially supported by NSF

Article copyright:
© Copyright 2002
American Mathematical Society