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Gorenstein in codimension 4, applications and the general theory (COMMA) April 11, 2013 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Miles Reid (University of Warwick)
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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) x 2k matrix of first syzygies, viewed as a morphism from the ambient regular space to the Spin-Hom variety SpH_k in 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.

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