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Cotangent cohomology of Stanley-Reisner rings

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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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References

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Acknowledgments.

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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Authors and Affiliations

  1. FB Mathematik und Informatik, WE2, Freie Universität Berlin, Arnimallee 3, D-14195, Berlin, Germany

    Klaus Altmann

  2. Department of Mathematics, University of Oslo at Blindern, Oslo, Norway

    Jan Arthur Christophersen

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  1. Klaus Altmann
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  2. Jan Arthur Christophersen
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Correspondence to Klaus Altmann.

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Altmann, K., Christophersen, J. Cotangent cohomology of Stanley-Reisner rings. manuscripta math. 115, 361–378 (2004). https://doi.org/10.1007/s00229-004-0496-3

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  • DOI: https://doi.org/10.1007/s00229-004-0496-3

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