Non-commutative CI operators
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- by David Eisenbud, Irena Peeva and Frank-Olaf Schreyer PDF
- Proc. Amer. Math. Soc. 147 (2019), 2857-2861 Request permission
Abstract:
We provide a counterexample to the 1980 conjecture that the CI (Complete Intersection) operators can be chosen to commute on a sufficiently high truncation of the minimal free resolution of a module over a complete intersection.References
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Additional Information
- David Eisenbud
- Affiliation: Department of Mathematics, University of California at Berkeley, Berkeley, California 94720
- MR Author ID: 62330
- ORCID: 0000-0002-5418-5579
- Irena Peeva
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- MR Author ID: 263618
- Frank-Olaf Schreyer
- Affiliation: Department of Mathematics, Universität des Saarlandes, Campus E2 4, D-66123, Saarbrücken, Germany
- MR Author ID: 156975
- Received by editor(s): July 15, 2018
- Received by editor(s) in revised form: November 3, 2018
- Published electronically: March 21, 2019
- Additional Notes: The first author was partially supported by NSF grant DMS-1001867, and the second author was partially supported by NSF grants DMS-1702125 and DMS-1406062. All authors were partially supported by NSF grant 0932078000 while in residence at MSRI
- Communicated by: Claudia Polini
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2857-2861
- MSC (2010): Primary 13D02
- DOI: https://doi.org/10.1090/proc/14480
- MathSciNet review: 3973889