Publications [#382233] of Ezra Miller

Papers Published

1. Li, Y; Miller, E; Ordog, E, Minimal resolutions of lattice ideals, Journal of Pure and Applied Algebra, vol. 229 no. 3 (March, 2025) [doi]
   (last updated on 2026/01/15)

   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.