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Volumn 12, Issue 2, 1997, Pages 145-164

The Hodge Filtration and Cyclic Homology

Author keywords

Cyclic homology; Hodge theory; Hypercohomology

Indexed keywords


EID: 0042639738     PISSN: 09203036     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007734302948     Document Type: Article
Times cited : (43)

References (29)
  • 1
    • 0000431639 scopus 로고
    • De Rham cohomology of an analytic space
    • Bloom, T. and Herrerra, H.: De Rham cohomology of an analytic space, Invent. Math. 7 (1969), 275-296
    • (1969) Invent. Math. , vol.7 , pp. 275-296
    • Bloom, T.1    Herrerra, H.2
  • 2
    • 0003326140 scopus 로고
    • Homotopy Limits, Completions, and Localization
    • Springer-Verlag, New York
    • Bousfield, A. and Kan, D.: Homotopy Limits, Completions, and Localization, Lectures Notes in Math. 304, Springer-Verlag, New York, 1972
    • (1972) Lectures Notes in Math. 304
    • Bousfield, A.1    Kan, D.2
  • 3
    • 0000960422 scopus 로고
    • Homotopy limits in triangulated categories
    • Bökstedt, M. and Neemon, A.: Homotopy limits in triangulated categories, Compositio Math. 86 (1993), 209-234.
    • (1993) Compositio Math. , vol.86 , pp. 209-234
    • Bökstedt, M.1    Neemon, A.2
  • 4
    • 0003192485 scopus 로고
    • Théorie de Hodge II et III
    • Deligne, P.: Théorie de Hodge II et III, Publ. Math. IHES 40 (1972), 5-57; 44 (1974), 5-78.
    • (1972) Publ. Math. IHES , vol.40 , pp. 5-57
    • Deligne, P.1
  • 5
    • 0003192487 scopus 로고
    • Deligne, P.: Théorie de Hodge II et III, Publ. Math. IHES 40 (1972), 5-57; 44 (1974), 5-78.
    • (1974) Publ. Math. IHES , vol.44 , pp. 5-78
  • 6
    • 0002953613 scopus 로고
    • Classes de Chern et répresentations linéaires des groups discrets
    • North-Holland, Amsterdam
    • Grothendieck, A: Classes de Chern et répresentations linéaires des groups discrets, Dix exposés sur la Cohomologie des Schémas, North-Holland, Amsterdam, 1968, pp. 215-305.
    • (1968) Dix Exposés sur la Cohomologie des Schémas , pp. 215-305
    • Grothendieck, A.1
  • 7
    • 0003274751 scopus 로고
    • Eléments de géométrie algébrique III et IV (première parties)
    • Grothendieck, A and Dieudonné, J.: Eléments de géométrie algébrique III et IV (première parties) Publ. Math. IHES 11 (1961), 20 (1964).
    • (1961) Publ. Math. IHES , vol.11
    • Grothendieck, A.1    Dieudonné, J.2
  • 8
    • 1842796271 scopus 로고
    • Grothendieck, A and Dieudonné, J.: Eléments de géométrie algébrique III et IV (première parties) Publ. Math. IHES 11 (1961), 20 (1964).
    • (1964) Publ. Math. IHES , vol.20
  • 9
    • 1842645052 scopus 로고
    • Cyclic homology and the de Rham cohomology of commutative algebras
    • Emmanouil, I.: Cyclic homology and the de Rham cohomology of commutative algebras, C.R. Acad. Sci. (Paris) 318 (1994), 413-417.
    • (1994) C.R. Acad. Sci. (Paris) , vol.318 , pp. 413-417
    • Emmanouil, I.1
  • 11
    • 0010185580 scopus 로고
    • Crystals and the de Rham cohomology of algebraic varieties
    • North-Holland, Amsterdam
    • Grothendieck, A.: Crystals and the de Rham cohomology of algebraic varieties, Dix exposés sur la cohomologie des schémas, North-Holland, Amsterdam, 1968, pp. 306-358.
    • (1968) Dix Exposés sur la Cohomologie des Schémas , pp. 306-358
    • Grothendieck, A.1
  • 12
    • 51649175498 scopus 로고
    • On the de Rham cohomology of algebraic varieties
    • Grothendieck, A.: On the de Rham cohomology of algebraic varieties, Publ. Math. IHES 29 (1966), 351-359.
    • (1966) Publ. Math. IHES , vol.29 , pp. 351-359
    • Grothendieck, A.1
  • 14
    • 4043150711 scopus 로고
    • Cyclic homology, derivations and the free loop space
    • Goodwillie, T.: Cyclic homology, derivations and the free loop space, Topology 24 (1985), 187-215.
    • (1985) Topology , vol.24 , pp. 187-215
    • Goodwillie, T.1
  • 15
    • 0002483142 scopus 로고
    • The cyclic homology and K-theory of curves
    • Geller, S., Reid, L. and Weibel, C.: The cyclic homology and K-theory of curves, J. reine angew. Math. 393 (1989), 39-90.
    • (1989) J. Reine Angew. Math. , vol.393 , pp. 39-90
    • Geller, S.1    Reid, L.2    Weibel, C.3
  • 16
    • 1842698673 scopus 로고
    • A Hodge-type decomposition for commutative algebra homology
    • Gerstenhaber, M. and Schack, S.D.: A Hodge-type decomposition for commutative algebra homology, J. Pure Appl. Algebra 48 (1987), 229-247.
    • (1987) J. Pure Appl. Algebra , vol.48 , pp. 229-247
    • Gerstenhaber, M.1    Schack, S.D.2
  • 17
    • 51649175540 scopus 로고
    • On the de Rham cohomology of algebraic varieties
    • Hartshorne, R.: On the de Rham cohomology of algebraic varieties, Publ. Math IHES 45 (1976), 5-99.
    • (1976) Publ. Math IHES , vol.45 , pp. 5-99
    • Hartshorne, R.1
  • 20
    • 0001906757 scopus 로고
    • On the (co)-homology of commutative rings
    • Amer. Math. Soc., Providence
    • Quillen, D.: On the (co)-homology of commutative rings, Proc. Symp. Pure Math. 17, 1970, Amer. Math. Soc., Providence, pp. 65-87.
    • (1970) Proc. Symp. Pure Math. 17 , pp. 65-87
    • Quillen, D.1
  • 21
    • 0003863845 scopus 로고
    • Residues and Duality
    • Springer-Verlag, New York
    • Hartshorne, R.: Residues and Duality, Lecture Notes in Math. 20, Springer-Verlag, New York, 1966.
    • (1966) Lecture Notes in Math. 20
    • Hartshorne, R.1
  • 22
    • 84946986029 scopus 로고
    • On the Hochschild homology decompositions
    • Ronco, M.: On the Hochschild homology decompositions, Comm. Algebra 21 (1993), 4699-4712.
    • (1993) Comm. Algebra , vol.21 , pp. 4699-4712
    • Ronco, M.1
  • 23
    • 0001560098 scopus 로고
    • Resolutions of unbounded complexes
    • Spaltenstein, N.: Resolutions of unbounded complexes, Compositio Math. 65 (1988), 121-154.
    • (1988) Compositio Math. , vol.65 , pp. 121-154
    • Spaltenstein, N.1
  • 25
    • 34249958705 scopus 로고
    • Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives
    • Vigué-Poirrier, M.: Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives, K-theory 4 (1991), 399-410.
    • (1991) K-theory , vol.4 , pp. 399-410
    • Vigué-Poirrier, M.1
  • 27
    • 21344433179 scopus 로고    scopus 로고
    • Cyclic homology for schemes
    • Weibel, C.: Cyclic homology for schemes, Proc. Amer. Math. Soc. 124 (1996), 1655-1662.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1655-1662
    • Weibel, C.1
  • 28
    • 1842645051 scopus 로고
    • Le caractère de Chern en homologie cyclique périodique
    • Weibel, C.: Le caractère de Chern en homologie cyclique périodique, C.R. Acad. Sci. (Paris) 317 (1993), 867-871.
    • (1993) C.R. Acad. Sci. (Paris) , vol.317 , pp. 867-871
    • Weibel, C.1
  • 29
    • 51249179109 scopus 로고
    • Étale descent for Hochschild and cyclic homology
    • Weibel, C. and Geller, S.: Étale descent for Hochschild and cyclic homology, Comment. Math. Helv. 66 (1991), 368-388.
    • (1991) Comment. Math. Helv. , vol.66 , pp. 368-388
    • Weibel, C.1    Geller, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.