Cotangent cohomology of Stanley-Reisner rings
Algebraic Geometry
2008-08-07 v3
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.
Keywords
Cite
@article{arxiv.math/0006139,
title = {Cotangent cohomology of Stanley-Reisner rings},
author = {Klaus Altmann and Jan Arthur Christophersen},
journal= {arXiv preprint arXiv:math/0006139},
year = {2008}
}
Comments
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 title. In the present form, v3 has appeared in manuscripta. The remaining part of the former v2 contains some mistakes in the (last) Section 4.7. A revised version of the second part of v2 will appear as an extra paper