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, Volume 115, Issue 3, pp 361–378 | Cite as

Cotangent cohomology of Stanley-Reisner rings



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.


Number Theory Algebraic Geometry Topological Group Simplicial Complex Commutative Ring 
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The first author is grateful for financial support from the University of Oslo during his visits. The second author is grateful for financial support from the universities FU and HU Berlin during his visits.


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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.FB Mathematik und InformatikWE2, Freie Universität BerlinBerlinGermany
  2. 2.Department of MathematicsUniversity of Oslo at BlindernOsloNorway

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