Cyclic homology of affine hypersurfaces with isolated singularities

Journal of Pure and Applied Algebra

Volumn 120, Issue 3, 1997, Pages 291-299

  Michler, Ruth I ^a  

^a UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031589521     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(96)00039-4     Document Type: Article

References (23)

1. [1] Buenos Aires group in Cyclic Homology, Hochschild and cyclic homology of hypersurfaces, Adv. Math. 95 (1992) 18-60.
2. [2] Buenos Aires group in Cyclic Homology, Cyclic homology of hypersurfaces, J. Pure Appl. Algebra 83 (1992) 205-218.
3. [3] T. Bloom and M. Herrera, De Rham cohomology of an analytic space, Invent. Math. 7 (1969) 275-296.
4. [4] D. Burghelea and M. Vigué-Poirrier, Cyclic Homology of Commutative Algebras. I, Springer Lecture Notes, Vol. 1318 (Springer, Berlin, 1986) 51-72.
5. [5] I. Emmanouil, Cyclic homology of affine algebras, Preprint.
6. [6] B. Feigin and B. Tsygan, Additive K-theory and crystalline cohomology, Functional Anal. Appl. 19 (1985) 124-125.
7. [7] S. Geller, L. Reid and C. Weibel, The cyclic homology and K-theory of curves, J. Reine Angew. Math. 393 (1989) 39-90.
8. [8] M. Gerstenhaber and S.D. Schack, A Hodge-type decomposition for commutative algebras, J. Pure Appl. Algebra 48 (1987) 229-247.
9. [9] A. Grothendieck, Éléments de géométrie algébrique III, Publ. Math. 11, 17 (1961, 1963).
10. [10] R. Hartshorne, On the de Rham cohomology of algebraic varieties, Publ. Math. I.H.E.S. 45 (1975) 6-98.
11. [11] R. Hübl, The cyclic homology of hypersurfaces with isolated singularities, Math. Ann. 299 (1994) 72-76.
12. [12] A. Lago and A. Rodicio, Generalized Koszul complexes and Hochschild (co)homology of complete intersections, Invent. Math. 96 (1989) 205-230.
13. [13] J.L Loday, Opérations sur l'homologie cyclique des algèbres commutatives, Invent. Math. 96 (1989) 205-230.
14. [14] J.L Loday, Cyclic Homology, Springer Grundlehren, Vol. 301 (Springer, Berlin, 1993).
15. [15] J.L Loday and D. Quillen, Cyclic homology and the Lie-algebra homology of matrices, Comment. Math. Helv. 59 (1984) 565-591.
16. [16] S. Maclane, Homology, Springer Grundlehren (Springer, Berlin, 1963).
17. [17] R. Michler, Hodge-components of cyclic homology of singular hypersurfaces, Ph.D Thesis, UC Berkeley, 1993.
18. [18] R. Michler, Hodge-components of cyclic homology for quasi-homogeneous hypersurfaces, Astérisque 226 (1994) 321-334.
19. [19] R. Michler, Torsion of differentials for quasi-homogeneous hypersurfaces, Rocky Mount. J. Math. 26(1) (1996) 229-236.
20. [20] R. Michler, Torsion of differentials of affine hypersurfaces, J. Pure Appl. Algebra, 104 (1995) 81-88.
21. [21] M. Vigué-Poirrier, Cyclic homology of algebraic hypersurfaces, J. Pure Appl. Algebra 72 (1991) 95-108.
22. [22] C. Weibel, An Introduction to Homological Algebra (Cambridge University Press, Cambridge, 1994).
23. [23] C. Weibel, The Hodge filtration of cyclic homology, Preprint.