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PRODID:-//University of Utah Math Department//Syzygies of subcanonical subschemes. Abstract: I will describe joint work with D. Eisenbud and Ch. Walter on resolutions by vector bundles. The idea is that coherent sheaves on projective space which are symmetric in a suitable sense have symmetric vector bundle resolutions. This generalizes results on surfaces with even sets of nodes, theta characteristics of plane curves, self-linked space curves, and recent results of Catanese, Kleiman-Lipman-Ulrich, Walter and others. I will also describe a structure result for Gorenstein subcanonical projective subschemes of codimension 3, and construct examples of smooth codimension 3 subcanonical varieties which are not Pfaffian (a projective subscheme of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric morphism f : E^* --> E(t) with E a vector bundle of odd rank.)//EN
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X-WR-CALNAME:Syzygies of subcanonical subschemes. Abstract: I will describe joint work with D. Eisenbud and Ch. Walter on resolutions by vector bundles. The idea is that coherent sheaves on projective space which are symmetric in a suitable sense have symmetric vector bundle resolutions. This generalizes results on surfaces with even sets of nodes, theta characteristics of plane curves, self-linked space curves, and recent results of Catanese, Kleiman-Lipman-Ulrich, Walter and others. I will also describe a structure result for Gorenstein subcanonical projective subschemes of codimension 3, and construct examples of smooth codimension 3 subcanonical varieties which are not Pfaffian (a projective subscheme of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric morphism f : E^* --> E(t) with E a vector bundle of odd rank.)
X-WR-CALDESC:Syzygies of subcanonical subschemes. Abstract: I will describe joint work with D. Eisenbud and Ch. Walter on resolutions by vector bundles. The idea is that coherent sheaves on projective space which are symmetric in a suitable sense have symmetric vector bundle resolutions. This generalizes results on surfaces with even sets of nodes, theta characteristics of plane curves, self-linked space curves, and recent results of Catanese, Kleiman-Lipman-Ulrich, Walter and others. I will also describe a structure result for Gorenstein subcanonical projective subschemes of codimension 3, and construct examples of smooth codimension 3 subcanonical varieties which are not Pfaffian (a projective subscheme of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric morphism f : E^* --> E(t) with E a vector bundle of odd rank.) at University of Utah Mathematics Department
X-WR-TIMEZONE:America/Denver
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UID:19990303T153000-sorin-popescu@math.utah.edu
DTSTART;TZID=America/Denver:19990303T153000
DTEND;TZID=America/Denver:19990303T163000
DTSTAMP:20260925T144333Z
SUMMARY:Syzygies of subcanonical subschemes. Abstract: I will describe joint work with D. Eisenbud and Ch. Walter on resolutions by vector bundles. The idea is that coherent sheaves on projective space which are symmetric in a suitable sense have symmetric vector bundle resolutions. This generalizes results on surfaces with even sets of nodes, theta characteristics of plane curves, self-linked space curves, and recent results of Catanese, Kleiman-Lipman-Ulrich, Walter and others. I will also describe a structure result for Gorenstein subcanonical projective subschemes of codimension 3, and construct examples of smooth codimension 3 subcanonical varieties which are not Pfaffian (a projective subscheme of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric morphism f : E^* --> E(t) with E a vector bundle of odd rank.)
DESCRIPTION:Speaker: Sorin Popescu\, Columbia and MSRI\n\n

LOCATION:JFB 102

URL:http://math.utah.edu/agseminar/1999-03-03-sorin-popescu/
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