Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies
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- by Kamran Lamei and Navid Nemati PDF
- Proc. Amer. Math. Soc. 146 (2018), 2765-2772 Request permission
Abstract:
We extend to one dimensional quotients the result of A. Conca and S. Murai on the convexity of the regularity of Koszul cycles. By providing a relation between the regularity of Koszul cycles and Koszul homologies we prove a sharp regularity bound for the Koszul homologies of a homogeneous ideal in a polynomial ring under the same conditions.References
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Additional Information
- Kamran Lamei
- Affiliation: School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
- Email: kamran.lamei@ut.ac.ir
- Navid Nemati
- Affiliation: School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran — and — Institut de Mathématiques de Jussieu, UPMC, 75005 Paris, France
- MR Author ID: 1202913
- Email: navid.nemati@imj-prg.fr
- Received by editor(s): May 16, 2017
- Received by editor(s) in revised form: September 12, 2017
- Published electronically: February 16, 2018
- Communicated by: Irena Peeva
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2765-2772
- MSC (2010): Primary 13D02, 13D03
- DOI: https://doi.org/10.1090/proc/13973
- MathSciNet review: 3787341