Details:
| Title | Algorithms for graded injective resolutions and local cohomology over semigroup rings | | Author(s) | David Helm, Ezra Miller | | Type | Article in Journal | | Abstract | Let Q be an affine semigroup generating Z^d , and fix a finitely generated Z^d -graded module M over the semigroup algebra k [ Q ] for a field k . We provide an algorithm to compute a minimal Z^d -graded injective resolution of M up to any desired cohomological degree. As an application, we derive an algorithm computing the local cohomology modules H_I^i ( M ) supported on any monomial (that is, Z d -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. | | Keywords | | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S074771710500009X |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 39 | | Number | 3–4 | | Pages | 373 - 395 | | Year | 2005 | | Note | Special issue on the occasion of MEGA 2003 MEGA 2003 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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