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Gorenstein in codimension 4 : the general structure theory
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Reid, Miles (2015) Gorenstein in codimension 4 : the general structure theory. In: Algebraic Geometry in East Asia - Taipei 2011, Taipei. Published in: Algebraic Geometry in East Asia — Taipei 2011, 65 pp. 201-227. ISBN 9784864970242. doi:10.2969/aspm/06510201
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Official URL: http://dx.doi.org/10.2969/aspm/06510201
Abstract
I describe the projective resolution of a codimension 4 Gorenstein ideal, aiming to extend Buchsbaum and Eisenbud's famous result in codimension 3. The main result is a structure theorem stating that the ideal is determined by its (k+1)×2k matrix of first syzygies, viewed as a morphism from the ambient regular space to the Spin-Hom variety SpHk⊂Mat(k+1,2k). This is a general result encapsulating some theoretical aspects of the problem, but, as it stands, is still some way from tractable applications.
Item Type: | Conference Item (Paper) | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Series Name: | Advanced Studies in Pure Mathematics | ||||||
Journal or Publication Title: | Algebraic Geometry in East Asia — Taipei 2011 | ||||||
Publisher: | Mathematical Society of Japan | ||||||
Place of Publication: | Tokyo | ||||||
ISBN: | 9784864970242 | ||||||
Book Title: | Algebraic Geometry in East Asia — Taipei 2011 | ||||||
Official Date: | May 2015 | ||||||
Dates: |
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Volume: | 65 | ||||||
Number of Pages: | 227 | ||||||
Page Range: | pp. 201-227 | ||||||
DOI: | 10.2969/aspm/06510201 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Conference Paper Type: | Paper | ||||||
Title of Event: | Algebraic Geometry in East Asia - Taipei 2011 | ||||||
Type of Event: | Workshop | ||||||
Location of Event: | Taipei | ||||||
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