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

Eivind Eriksen () and Trond Stølen Gustavsen ()
Additional contact information
Eivind Eriksen: Oslo University College
Trond Stølen Gustavsen: BI Norwegian School of Management

Chapter 9 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 99-108 from Springer

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.

Keywords: Local Ring; Surface Singularity; Representation Type; Computer Algebra System; Curve Singularity (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-85332-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9783540853329

DOI: 10.1007/978-3-540-85332-9_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().