Publications [#382233] of Ezra Miller

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Peer-reviewed journal articles published

1. Li, Y; Miller, E; Ordog, E. "Minimal resolutions of lattice ideals." Journal of Pure and Applied Algebra 229.3 (March, 2025). [doi]
   (last updated on 2025/06/14)

   Abstract:
   A canonical minimal free resolution of an arbitrary co-artinian lattice ideal over the polynomial ring is constructed over any field whose characteristic is 0 or any but finitely many positive primes. The differential has a closed-form combinatorial description as a sum over lattice paths in Zn of weights that come from sequences of faces in simplicial complexes indexed by lattice points. Over a field of any characteristic, a non-canonical but simpler resolution is constructed by selecting choices of higher-dimensional analogues of spanning trees along lattice paths. These constructions generalize sylvan resolutions for monomial ideals by lifting them equivariantly to lattice modules.