Cotangent cohomology of Stanley-Reisner rings

Mathematics – Algebraic Geometry

Scientific paper

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18 pages, LaTeX. This v3 is the final version of the first part of the former v2. To indicate this, we have also changed the t

Scientific paper

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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