Minimal Cellular Resolutions of the Edge Ideals of Forests

  • Margherita Barile
  • Antonio Macchia
DOI: https://doi.org/10.37236/8810

Abstract

We present an explicit construction of minimal cellular resolutions for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik resolution. This procedure allows us to ease the computation of the graded Betti numbers and the projective dimension.

Published
2020-05-29
Issue
Volume 27, Issue 2 (2020)
Article Number
P2.41