Graded greenlees-may duality and the cech hull

Local Cohomology and its Applications

Volumn , Issue , 2001, Pages 233-253

  Miller, Ezra ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

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EID: 0009924670     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (22)

1. Leovigildo Alonso Tarrío, Ana Jeremías López, and Joseph Lipman, Local homology and cohomology on schemes, Ann. Sci. École Norm. Sup. (4) 30 (1997), no. 1, 1-39.
2. David Cox, The homogeneous coordinate rinq of a toric variety, J. Algebraic Geom. 4 (1995), 17-50.
3. David Eisenbud, Commutative algebra, with a view toward algebraic geometry, Graduate Texts in Mathematics, vol. 150, Springer-Verlag, New York, 1995.
4. David Eisenbud, Mircea Mustafa, and Mike Stillman, Cohomology on toric varieties and local cohomology with monomial supports, J. Symbolic Comput. 29 (2000), no. 4-5, 583-600, Symbolic computation in algebra, analysis, and geometry (Berkeley, CA, 1998).
5. John P. C. Greenlees and J. Peter May, Derived functors of I-adic completion and local homology, J. Algebra 149 (1992), no. 2, 438-453.
6. Hans-Gert Grabe, The canonical module of a Stanley-Reisner ring, J. Algebra 86 (1984), 272-281.
7. n-graded rinqs), Tokyo J. Math. 1 (1978), no. 2, 237-261.
8. David Helm and Ezra Miller, Bass numbers of semigroup-graded local cohomology, Preprint (math.AG/0010003), 2000.
9. Melvin Höchster, Cohen-Macaulay rings, combinatorics, and simplicial complexes, Ring theory, II (Proc. Second Conf., Univ. Oklahoma, Norman, Okla., 1975) (B. R. McDonald and R. Morris, eds.), Lect. Notes in Pure and Appl. Math., no. 26, Dekker, New York, 1977, pp. 171-223. Lecture Notes in Pure and Appl. Math., Vol. 26.
10. ia(R) for ideals a generated by monomials in an R-sequence, Complete intersections (Acireale, 1983), Springer, Berlin, 1984, pp. 214-220.
11. Ezra Miller, Alexander duality for monomial ideals and their resolutions, Preprint (math.AG/9812095), 1998.
12. Ezra Miller, The Alexander duality functors and local duality with monomial support, J. Algebra 231 (2000), 180-234.
13. Ezra Miller and David Perkinson, Eight lectures on monomial ideals, COCOA VI: Proceedings of the International School (Anthony V. Geramita, ed,), Queens Papers in Pure and Applied Mathematics, no. 120, 2001, pp. 3-105.
14. Mircea Musţafă, Local cohomology at monomial ideals, J. Symbolic Comput. 29 (2000), no. 4-5, 709-720.
15. Mircea Musţafă, Vanishing theorems on toric varieties, Duke Math. J. (2000), to appear.
16. Gerald Allen Reisner, Cohen-Macaulay quotients of polynomial rings, Advances in Math. 21 (1976), no. 1, 30-49.
17. Tim Römer, Generalized Alexander duality and applications, Osaka J. Math. (2000), to appear.
18. Richard P. Stanley, Combinatorics and commutative algebra, second ed., Progress in Mathematics, vol. 41, Birkhäuser Boston Inc., Boston, MA, 1996.
19. Diana Taylor, Ideals generated by monomials in an R-sequence, Ph.D. thesis, University of Chicago, 1960.
20. Naoki Terai, Alexander duality theorem and Stanley-Reisner rings, Sūrikai-sekikenkyūsho Kōkyūroku (1999), no. 1078, 174-184, Free resolutions of coordinate rings of projective varieties and related topics (Japanese) (Kyoto, 1998).
21. Charles A. Weibel, An introduction to homological algebra, vol. 38, Cambridge University Press, Cambridge, 1994.
22. Kohji Yanagawa, Bass numbers of local cohomology modules with supports in monomial ideals, Math. Proc. Cambridge Phil. Soc. (2000), to appear.