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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.