Lefschetz properties for Artinian Gorenstein algebras presented by quadrics
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- by Rodrigo Gondim and Giuseppe Zappalà PDF
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Abstract:
We introduce a family of Artinian Gorenstein algebras, whose combinatorial structure characterizes the ones presented by quadrics. Under certain hypotheses these algebras have non-unimodal Hilbert vector. In particular we provide families of counterexamples to the conjecture that Artinian Gorenstein algebras presented by quadrics should satisfy the weak Lefschetz property.References
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Additional Information
- Rodrigo Gondim
- Affiliation: Universidade Federal Rural de Pernambuco, av. Don Manoel de Medeiros s/n, Dois Irmos - Recife - PE 52171-900, Brazil
- MR Author ID: 938923
- Email: rodrigo.gondim@ufrpe.br
- Giuseppe Zappalà
- Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Catania, Viale A. Doria 5, 95125 Catania, Italy
- Email: zappalag@dmi.unict.it
- Received by editor(s): December 19, 2016
- Received by editor(s) in revised form: April 27, 2017
- Published electronically: October 30, 2017
- Additional Notes: The first author was partially supported by the CAPES postdoctoral fellowship, Proc. BEX 2036/14-2
The second author was part of the Research Project of the University of Catania FIR 2014 “Aspetti geometrici e algebrici della Weak e Strong Lefschetz Property” - Communicated by: Irena Peeva
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 993-1003
- MSC (2010): Primary 13A02, 05E40; Secondary 13D40, 13E10
- DOI: https://doi.org/10.1090/proc/13822
- MathSciNet review: 3750213