Bounds for the multiplicity of Gorenstein algebras
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- by Sabine El Khoury, Manoj Kummini and Hema Srinivasan
- Proc. Amer. Math. Soc. 143 (2015), 121-128
- DOI: https://doi.org/10.1090/S0002-9939-2014-12275-1
- Published electronically: September 19, 2014
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Abstract:
We prove upper bounds for the Hilbert-Samuel multiplicity of standard graded Gorenstein algebras. The main tool that we use is Boij-Söderberg theory to obtain a decomposition of the Betti table of a Gorenstein algebra as the sum of rational multiples of symmetrized pure tables. Our bound agrees with the one in the quasi-pure case obtained by Srinivasan [J. Algebra, vol. 208, no. 2 (1998)].References
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Bibliographic Information
- Sabine El Khoury
- Affiliation: Department of Mathematics, American University of Beirut, Beirut, Lebanon
- Email: se24@aub.edu.lb
- Manoj Kummini
- Affiliation: Chennai Mathematical Institute, Siruseri, Tamilnadu 603103, India
- MR Author ID: 827227
- ORCID: 0000-0002-4822-0112
- Email: mkummini@cmi.ac.in
- Hema Srinivasan
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
- MR Author ID: 269661
- ORCID: 0000-0001-7509-8194
- Email: srinivasanh@missouri.edu
- Received by editor(s): November 6, 2012
- Received by editor(s) in revised form: May 4, 2013
- Published electronically: September 19, 2014
- Additional Notes: The first author thanks the American University of Beirut for supporting part of this work through a long-term development grant, and the Mathematical Sciences Research Institute, Berkeley, California, for its hospitality
The seocnd author thanks MSRI for support during Fall 2012. In addition, the first and second authors thank the University of Missouri, Columbia for its hospitality
The third author gratefully acknowledges support from MU Research Council grants and MSRI - Communicated by: Irena Peeva
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 121-128
- MSC (2010): Primary 13D02, 13D40
- DOI: https://doi.org/10.1090/S0002-9939-2014-12275-1
- MathSciNet review: 3272737