Examples of degenerations of Cohen-Macaulay modules
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- by Naoya Hiramatsu and Yuji Yoshino PDF
- Proc. Amer. Math. Soc. 141 (2013), 2275-2288 Request permission
Abstract:
We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations. It is proved that such degenerations over an even-dimensional simple hypersurface singularity of type $(A_n)$ are given by extensions. We also prove that all extended degenerations of maximal Cohen-Macaulay modules over a Cohen-Macaulay complete local algebra of finite representation type are obtained by iteration of extended degenerations of Auslander-Reiten sequences.References
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Additional Information
- Naoya Hiramatsu
- Affiliation: Department of General Education, Kure National College of Technology, 2-2-11, Agaminami, Kure Hiroshima, 737-8506 Japan
- MR Author ID: 889120
- Email: hiramatsu@kure-nct.ac.jp
- Yuji Yoshino
- Affiliation: Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University, Okayama 700-8530, Japan
- Email: yoshino@math.okayama-u.ac.jp
- Received by editor(s): December 24, 2010
- Received by editor(s) in revised form: September 2, 2011, and October 20, 2011
- Published electronically: March 22, 2013
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 2275-2288
- MSC (2010): Primary 13C14; Secondary 13D10, 16G50, 16G60, 16G70
- DOI: https://doi.org/10.1090/S0002-9939-2013-11523-6
- MathSciNet review: 3043009