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Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs


Authors: Jürgen Herzog, Takayuki Hibi and Ayesha Asloob Qureshi
Journal: Proc. Amer. Math. Soc. 143 (2015), 2767-2778
MSC (2010): Primary 13C13, 13A30, 13F99, 05E40
DOI: https://doi.org/10.1090/S0002-9939-2015-12456-2
Published electronically: March 11, 2015
MathSciNet review: 3336602
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Abstract: In this paper, we introduce the polarization of Koszul cycles and use it to study the depth function of powers of edge ideals of whisker graphs.


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Additional Information

Jürgen Herzog
Affiliation: Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany
Email: juergen.herzog@uni-essen.de

Takayuki Hibi
Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email: hibi@math.sci.osaka-u.ac.jp

Ayesha Asloob Qureshi
Affiliation: The Abdus Salam International Center of Theoretical Physics, Trieste, Italy
Address at time of publication: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email: aqureshi@cr.math.sci.osaka-u.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-2015-12456-2
Keywords: Polarization, Koszul complex, whisker graphs, edge ideals
Received by editor(s): November 4, 2013
Received by editor(s) in revised form: January 16, 2014
Published electronically: March 11, 2015
Communicated by: Irena Peeva
Article copyright: © Copyright 2015 American Mathematical Society

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