Title	Non-Koszul Quadratic Gorenstein rings via Idealization
Creator	Schenck, Hal
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-28T15:30
Description	Let R be a standard graded Gorenstein algebra over a field presented by quadrics. Conca-Rossi-Valla showed that such a ring is Koszul if reg (R)<= 2 or if reg(R)= 3 and codim(R)<= 4, and asked if this is true for reg(R)= 3 in general. We give a negative answer to their question by finding suitable conditions on a non-Koszul quadratic Cohen-Macaulay ring R that guarantee the Nagata idealization of R with the (twisted) canonical module is a non-Koszul quadratic Gorenstein ring.
Extent	53.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Iowa State University
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	10.14288/1.0377347
URI	http://hdl.handle.net/2429/69105
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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