Cotangent cohomology of Stanley-Reisner rings
| Autor: | Jan Arthur Christophersen, Klaus Altmann |
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| Rok vydání: | 2004 |
| Předmět: |
Pure mathematics
Mathematics::Commutative Algebra General Mathematics Deformation theory Algebraic geometry Commutative ring Mathematics::Algebraic Topology h-vector Cohomology Algebra Mathematics - Algebraic Geometry Simplicial complex Derived algebraic geometry FOS: Mathematics Topological group Algebraic Geometry (math.AG) Mathematics |
| Zdroj: | manuscripta mathematica. 115:361-378 |
| ISSN: | 1432-1785 0025-2611 |
| DOI: | 10.1007/s00229-004-0496-3 |
| Popis: | 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. Comment: 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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