LCM lattices supporting pure resolutions

Francisco, Christopher; Mermin, Jeffrey; Schweig, Jay

doi:10.1090/proc/12890

LCM lattices supporting pure resolutions
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by Christopher A. Francisco, Jeffrey Mermin and Jay Schweig

Proc. Amer. Math. Soc. 144 (2016), 2315-2325

DOI: https://doi.org/10.1090/proc/12890

Published electronically: October 20, 2015

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Abstract:

We characterize the lcm lattices that support a monomial ideal with a pure resolution. Given such a lattice, we provide a construction that yields a monomial ideal with that lcm lattice and whose minimal free resolution is pure.

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