The pinched Veronese is Koszul

Article

Abstract

In this paper we prove that the coordinate ring of the pinched Veronese, k[X 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.

Keywords

Koszul algebras Pinched Veronese Koszul filtration 

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Mathematics DepartmentPurdue UniversityWest LafayetteUSA

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