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Connections on Modules over Singularities of Finite and Tame CM Representation Type

In: Generalized Lie Theory in Mathematics, Physics and Beyond

Author

Listed:
  • Eivind Eriksen

    (Oslo University College)

  • Trond Stølen Gustavsen

    (BI Norwegian School of Management)

Abstract

Let R be the local ring of a singular point of a complex analytic space, and let M be an R-module. Under what conditions on R and M is it possible to find a connection on M? To approach this question, we consider maximal Cohen—Macaulay (MCM) modules over CM algebras that are isolated singularities, and review an obstruction theory implemented in the computer algebra system Singular. We report on results, with emphasis on singularities of finite and tame CM representation type.

Suggested Citation

  • Eivind Eriksen & Trond Stølen Gustavsen, 2009. "Connections on Modules over Singularities of Finite and Tame CM Representation Type," Springer Books, in: Sergei Silvestrov & Eugen Paal & Viktor Abramov & Alexander Stolin (ed.), Generalized Lie Theory in Mathematics, Physics and Beyond, chapter 9, pages 99-108, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-85332-9_9
    DOI: 10.1007/978-3-540-85332-9_9
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