Math @ Duke
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Publications [#304492] of Ezra Miller
Papers Published
- Helm, D; Miller, E, Algorithms for graded injective resolutions and local cohomology over semigroup rings,
Journal of Symbolic Computation, vol. 39 no. 3-4 SPEC. ISS.
(March, 2005),
pp. 373-395, Elsevier BV [doi]
(last updated on 2024/04/23)
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.
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