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BoijSoederberg -- Betti diagram routines


BoijSoederberg is a package designed to help with the investigation of the Boij-Soederberg conjectures and theorems. For the definitions and conjectures, see math.AC/0611081, "Graded Betti numbers of Cohen-Macaulay modules and the Multiplicity conjecture", by Mats Boij, Jonas Soederberg.

Manipulation of Betti diagrams

Pure Betti diagrams

Cohomology tables

Decomposition into pure diagrams

Three constructions for pure resolutions. These routines provide the zero-th Betti number given a degree sequence.

Constructions often leading to pure resolutions

Facet equation and the dot product between Betti diagrams and cohomology tables



This documentation describes version 1.5 of BoijSoederberg.

Source code

The source code from which this documentation is derived is in the file BoijSoederberg.m2.


For the programmer

The object BoijSoederberg is a package.