Local cohomology of Stanley-Reisner rings with supports in general monomial ideals

Journal of Algebra

Volumn 244, Issue 2, 2001, Pages 706-736

  Reiner, Victor ^a   Welker, Volkmar ^b   Yanagawa, Kohji ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

^c OSAKA UNIVERSITY   (Japan)

Author keywords

Alexander duality; Gorenstein complex; Lichtenbaum Hartshorne vanishing theorem; Local cohomology modules; Stanley Reisner rings

Indexed keywords

EID: 0035888633     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2001.8932     Document Type: Article

References (21)

1. Topological methods
2. Oriented matroids
3. Partitions of unity in homotopy theory
4. Direct methods for primary decomposition
5. The lcm-lattice in monomial resolutions
6. n-graded rings
7. Cohomological dimension of algebraic varieties
8. Affine duality and cofiniteness
9. Bass numbers of semigroup-graded local cohomology
10. i(R) for ideals a generated by monomials in an R-sequence
11. The Alexander duality functors and local duality with monomial support
12. Local cohomology at monomial ideals
13. Local cohomology modules with respect to monomial ideals
14. n-graded modules
15. Bass Numbers of Local cohomology modules with supports in monomial ideals
16. Sheaves on finite posets and modules over normal semigroup rings