Obstructions to deformations of d.g. modules
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- by Trina Armstrong and Ron Umble PDF
- Proc. Amer. Math. Soc. 129 (2001), 3447-3452 Request permission
Abstract:
Let $\mathbf {k}$ be a field and $n\geq 1$. There exist a differential graded $\mathbf {k}$-module $(V,d)$ and various approximations to a differential $d+td_{1}+t^{2}d_{2}+\cdots + t^{n}d_{n}$ on $V[[t]],$ one of which gives a non-trivial deformation, another is obstructed, and another is unobstructed at order $n$. The analogous problem in the category of $\mathbf {k}$-algebras in characteristic zero remains a long-standing open question.References
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Additional Information
- Trina Armstrong
- Affiliation: Department of Health Evaluation Sciences, Penn State College of Medicine, MC H173, P.O. Box 850, 500 University Dr., Hershey, Pennsylvania 17033
- Email: tja3@psu.edu
- Ron Umble
- Affiliation: Department of Mathematics, Millersville University of Pennsylvania, Millersville, Pennsylvania 17551
- Email: Ron.Umble@millersville.edu
- Received by editor(s): February 9, 1995
- Published electronically: July 2, 2001
- Additional Notes: This paper reports the results of an undergraduate honors project directed by the second author.
- Communicated by: Eric Friedlander
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3447-3452
- MSC (2000): Primary 13D10
- DOI: https://doi.org/10.1090/S0002-9939-01-06293-1
- MathSciNet review: 1860475