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Published 2016 | Published + Submitted
Journal Article Open

The cone of Betti tables over three non-collinear points in the plane

Abstract

We describe the cone of Betti tables of all finitely generated graded modules over the homogeneous coordinate ring of three non-collinear points in the projective plane. We also describe the cone of Betti tables of all finite length modules.

Additional Information

© 2016 Rocky Mountain Mathematics Consortium. Received by the editors on January 31, 2015, and in revised form on July 27, 2015. The first author was supported by the Caltech SURF program. The second author was supported by a Miller research fellowship. The software system Macaulay2 [10] was helpful for carrying out this research. In particular, we made use of the FourierMotzkin package written by Gregory Smith.

Attached Files

Published - euclid.jca.1477600746.pdf

Submitted - 1501.00207v1.pdf

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Additional details

Created:
August 20, 2023
Modified:
October 24, 2023