manuscripta mathematica

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

Cotangent cohomology of Stanley-Reisner rings

Article

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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Copyright information

© 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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