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The pinched Veronese is Koszul
Authors:Giulio Caviglia
Institution:(1) Department of Mathematics, Cornell University, Ithaca, NY 14853, USA
Abstract:In this paper we prove that the coordinate ring of the pinched Veronese, kX 3,X 2 Y,XY 2,Y 3,X 2 Z,Y 2 Z,XZ 2,YZ 2,Z 3], is Koszul. The result is obtained by combining the use of a flat deformation induced by a distinguished weight together with a generalization of the notion of Koszul filtrations.
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