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Cotangent cohomology of Stanley-Reisner rings
Authors:Klaus Altmann  Jan Arthur Christophersen
Institution:(1) FB Mathematik und Informatik, WE2, Freie Universität Berlin, Arnimallee 3, D-14195 Berlin, Germany;(2) Department of Mathematics, University of Oslo at Blindern, Oslo, Norway
Abstract:Simplicial complexes X provide commutative rings A(X) via the Stanley- Reisner construction. We calculated the cotangent cohomology, i.e., T1 and T2 of A(X) in terms of X. These modules provide information about the deformation theory of the algebro geometric objects assigned to X.
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