• Corpus ID: 245123797

The Shift-Dimension of Multipersistence Modules

@inproceedings{Chacholski2021TheSO,
  title={The Shift-Dimension of Multipersistence Modules},
  author={Wojciech Chach'olski and Ren{\'e} Corbet and Anna-Laura Sattelberger},
  year={2021}
}
We introduce the shift-dimension of multipersistence modules and investigate its algebraic properties. This gives rise to a new invariant of multigraded modules over the multivariate polynomial ring arising from the hierarchical stabilization of the zeroth total multigraded Betti number. We present a fast algorithm for the computation of the shift-dimension of interval modules in the bivariate case. We construct multipersistence contours that are parameterized by multivariate functions and… 

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