Title	Lefschetz properties for Artinian Gorenstein algebras presented by quadrics
Creator	Gondim Neves, Rodrigo José
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-03-15T17:02
Description	We introduce a family of standard bigraded binomial Artinian Gorenstein algebras, whose combinatoric structure characterizes the ones presented by quadrics. These algebras provide, for all socle degree grater than two and in sufficiently large codimension with respect to the socle degree, counter-examples to Migliore-Nagel conjectures. One of them predicted that Artinian Gorenstein algebras presented by quadrics should satisfy the weak Lefschetz property. We also prove a generalization of a Hessian criterion for the Lefschetz properties given by Watanabe, which is our main tool to control the Weak Lefschetz property.
Extent	34 minutes
Subject	Mathematics; Commutative rings and algebras; Several complex variables and analytic spaces; Commutative algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidade Federal Rural de Pernambuco
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-09-20
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0314358
URI	http://hdl.handle.net/2429/59226
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Lefschetz properties for Artinian Gorenstein algebras presented by quadrics Gondim Neves, Rodrigo José

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