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Arrangements in Boston: A Conference in Hyperplane Arrangements
June 12-15, 1999
Northeastern University
Boston, MA, USA

Organizers
Dan Cohen, David Massey, Alex Suciu

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Resolutions of ideals of polynomial and exterior algebras
by
Sergey Yuzvinsky
University of Oregon, USA

We discuss the class of homogeneous ideals of a polynomial ring whose Taylor complex is a resolution. For idelas of this class (that includes monomial ideals) we discuss how to find their Betti numbers and multiplication in Tor-ring combinatorially. We give a combinatorial construction of a minimal resolution. Some initial results for ideals of exterior algebras and applications to arrangements are also discussed.

Date received: June 1, 1999


Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadi-17.