Lefschetz properties for complete intersection ideals generated by products of linear forms
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- by Martina Juhnke-Kubitzke, Rosa M. Miró-Roig, Satoshi Murai and Akihito Wachi PDF
- Proc. Amer. Math. Soc. 146 (2018), 3249-3256 Request permission
Abstract:
In this paper, we study the strong Lefschetz property of artinian complete intersection ideals generated by products of linear forms. We prove the strong Lefschetz property for a class of such ideals with binomial generators.References
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Additional Information
- Martina Juhnke-Kubitzke
- Affiliation: Fakultät für Mathematik, Universität Osnabrück, Albrechtstraße 28a, 49076 Osnabrück, Germany
- MR Author ID: 855610
- Email: juhnke-kubitzke@uni-osnabrueck.de
- Rosa M. Miró-Roig
- Affiliation: Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
- MR Author ID: 125375
- ORCID: 0000-0003-1375-6547
- Email: miro@ub.edu
- Satoshi Murai
- Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, 565-0871, Japan
- MR Author ID: 800440
- Email: s-murai@ist.osaka-u.ac.jp
- Akihito Wachi
- Affiliation: Department of Mathematics, Hokkaido University of Education, Kushiro, 085-8580 Japan
- MR Author ID: 646624
- Email: wachi.akihito@k.hokkyodai.ac.jp
- Received by editor(s): August 19, 2017
- Received by editor(s) in revised form: October 21, 2017
- Published electronically: March 19, 2018
- Additional Notes: The first author was sponsored by the German Research Council DFG GRK-1916, the second author was sponsored by MTM2016-78623-P, the third author was sponsored by JSPS KAKENHI Grant 16K05102, and the fourth author was sponsored by JSPS KAKENHI Grant 15K04812.
- Communicated by: Irena Peeva
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 3249-3256
- MSC (2010): Primary 13E10, 13C13, 13C40
- DOI: https://doi.org/10.1090/proc/14009
- MathSciNet review: 3803652