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Twenty-four hours of local cohomology /
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Catalogue Information
Field name
Details
Dewey Class
514/.23
Title
Twenty-four hours of local cohomology / ([EBook] ) / Srikanth B. Iyengar ... [et al.].
Added Personal Name
Iyengar, Srikanth, , 1970-
Publication
Providence, R.I. : : American Mathematical Society, , c2007.
Physical Details
1 online resource (xviii, 282 p. : ill.)
Series
Graduate studies in mathematics
; 87
ISBN
9781470421175 (online)
Contents note
Lecture 1. Basic notions: Lecture 2. Cohomology: Lecture 3. Resolutions and derived functors: Lecture 4. Limits: Lecture 5. Gradings, filtrations, and Gröbner bases: Lecture 6. Complexes from a sequence of ring elements: Lecture 7. Local cohomology: Lecture 8. Auslander-Buchsbaum formula and global dimension: Lecture 9. Depth and cohomological dimension: Lecture 10. Cohen-Macaulay rings: Lecture 11. Gorenstein rings: Lecture 12. Connections with sheaf cohomology: Lecture 13. Projective varieties: Lecture 14. The Hartshorne-Lichtenbaum vanishing theorem: Lecture 15. Connectedness: Lecture 16. Polyhedral applications: Lecture 17. $D$-modules: Lecture 18. Local duality revisited: Lecture 19. De Rham cohomology: Lecture 20. Local cohomology over semigroup rings: Lecture 21. The Frobenius endomorphism: Lecture 22. Curious examples: Lecture 23. Algorithmic aspects of local cohomology: Lecture 24. Holonomic rank and hypergeometric systems: Appendix. Injective modules and Matlis duality:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/087
See Also
https://doi.org/10.1090/gsm/087
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Subject References:
Algebra, Homological
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Cohomology operations
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Group theory
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Sheaf theory
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Authors:
Iyengar, Srikanth, 1970-
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Series:
Graduate studies in mathematics
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Classification:
514/.23
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