Periodic occurrence of complete intersection monomial curves

Authors:
A. V. Jayanthan and Hema Srinivasan

Journal:
Proc. Amer. Math. Soc. **141** (2013), 4199-4208

MSC (2010):
Primary 13C40, 14H50

DOI:
https://doi.org/10.1090/S0002-9939-2013-11991-X

Published electronically:
August 23, 2013

MathSciNet review:
3105863

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Abstract | References | Similar Articles | Additional Information

Abstract: We study the complete intersection property of monomial curves in the family . We prove that if is a complete intersection for , then is a complete intersection for . This proves a conjecture of Herzog and Srinivasan on eventual periodicity of Betti numbers of semigroup rings under translations for complete intersections. We also show that if is a complete intersection for , then is a complete intersection. We also characterize the complete intersection property of this family when .

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Additional Information

**A. V. Jayanthan**

Affiliation:
Department of Mathematics, Indian Institute of Technology Madras, Chennai, India 600036

Email:
jayanav@iitm.ac.in

**Hema Srinivasan**

Affiliation:
Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211

Email:
srinivasanh@missouri.edu

DOI:
https://doi.org/10.1090/S0002-9939-2013-11991-X

Received by editor(s):
February 15, 2012

Published electronically:
August 23, 2013

Additional Notes:
The work was done during the first author’s visit to the University of Missouri-Columbia. He was funded by the Department of Science and Technology, Government of India. He sincerely thanks the funding agency and also the Department of Mathematics at the University of Missouri-Columbia for the great hospitality provided to him.

Communicated by:
Irena Peeva

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.