Title	A generalization of Macaulayâ s correspondence for Gorenstein k-algebras and applications
Creator	Rossi, Maria-Evelina
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-27T10:32
Description	We present a generalization of Macaulayâ s Inverse System to higher dimensions. To date a general structure for Gorenstein $k$-algebras of any dimension (and codimension) is not understood. We extend Macaulay's correspondence characterizing the submodules of the divided powers ring in one-to-one correspondence with Gorenstein d-dimensional $k$-algebras. We present effective methods for constructing Gorenstein graded rings with given numerical invariants fixed by their minimal free resolution. Recent generalizations by S. Masuti, M. Schulze and L. Tozzo will be presented. Possible applications are discussed.
Extent	62.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Genova
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377344
URI	http://hdl.handle.net/2429/69102
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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