Publications [#304492] of Ezra Miller

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Peer-reviewed journal articles published

1. Helm, D; Miller, E. "Algorithms for graded injective resolutions and local cohomology over semigroup rings." Journal of Symbolic Computation 39.3-4 SPEC. ISS. (March, 2005): 373-395. [doi]
   (last updated on 2024/04/18)

   Abstract:
   Let Q be an affine semigroup generating ℤd, and fix a finitely generated ℤd-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a minimal ℤd-graded injective resolution of M up to any desired cohomological degree. As an application, we derive an algorithm computing the local cohomology modules HIi supported on any monomial (that is, ℤd-graded) ideal I. Since these local cohomology modules are neither finitely generated nor finitely cogenerated, part of this task is defining a finite data structure to encode them. © 2005 Elsevier Ltd. All rights reserved.