Mixed Hodge structures on the intersection cohomology of links
Alan H. Durfee; Morihiko Saito
Compositio Mathematica (1990)
- Volume: 76, Issue: 1-2, page 49-67
- ISSN: 0010-437X
Access Full Article
topHow to cite
topDurfee, Alan H., and Saito, Morihiko. "Mixed Hodge structures on the intersection cohomology of links." Compositio Mathematica 76.1-2 (1990): 49-67. <http://eudml.org/doc/90054>.
@article{Durfee1990,
author = {Durfee, Alan H., Saito, Morihiko},
journal = {Compositio Mathematica},
keywords = {isolated singularity; link; intersection cohomology; mixed Hodge modules; mixed Hodge structure},
language = {eng},
number = {1-2},
pages = {49-67},
publisher = {Kluwer Academic Publishers},
title = {Mixed Hodge structures on the intersection cohomology of links},
url = {http://eudml.org/doc/90054},
volume = {76},
year = {1990},
}
TY - JOUR
AU - Durfee, Alan H.
AU - Saito, Morihiko
TI - Mixed Hodge structures on the intersection cohomology of links
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 76
IS - 1-2
SP - 49
EP - 67
LA - eng
KW - isolated singularity; link; intersection cohomology; mixed Hodge modules; mixed Hodge structure
UR - http://eudml.org/doc/90054
ER -
References
top- [Be] A. Beilinson: On the derived category of perverse sheaves, in: K-Theory, arithmetic and geometry, Lecture Notes in Math.1289, Springer-Verlag, Berlin, 1987, 27-41. Zbl0652.14008MR923133
- [BBD] A. Beilinson, J. Bernstein, P. Deligne: Faisceaux pervers, Asterisque100 (1982). Zbl0536.14011MR751966
- [Bo] A. Borel et al., Intersection cohomology. BirkhäuserBoston1984. Zbl0553.14002
- [De1] P. Deligne: Théorie de Hodge III. Publ. Math. IHES44 (1974) 5-78. Zbl0237.14003MR498552
- [De2] P. Deligne: La conjecture de Weil II. Publ. Math. IHES52 (1980) 137-252. Zbl0456.14014MR601520
- [De3] P. Deligne: Le formalisme des cycles évanescents. In SGA7 XIII and XIV, Lecture Notes in Math.340, Springer-Verlag, Berlin, 1973, pp. 82-115 and 116-164. Zbl0266.14008
- [Du] A. Durfee: Neighborhoods of algebraic sets. Trans. Amer. Math. Soc.276 (1983) 517-530. Zbl0529.14013MR688959
- [DH] A. Durfee and R. Hain: Mixed Hodge structures on the homotopy of links. Math. Ann.280 (1988) 69-83. Zbl0617.14012MR928298
- [E1] F. Elzein: Mixed Hodge structures. Proc. Symp. Pure Math.40 (1983) 345-352. Zbl0516.14004MR713073
- [Ga] O. Gabber: Purité de la cohomologie de MacPherson-Goresky, rédigé par P. Deligne. (IHES preprint Feb. 1981).
- [GM1] M. Goresky and R. MacPherson: Intersection homology theory. Topology19 (1980) 135-162. Zbl0448.55004MR572580
- [GM2] M. Goresky and R. MacPherson: Intersection homology II. Inv. Math.72 (1983) 77-129. Zbl0529.55007MR696691
- [GM3] M. Goresky and R. MacPherson: Morse theory and intersection homology theory. Astérisque101-2 (1982) 135-192. Zbl0524.57022MR737930
- [Go] R. Godement: Théorie des faisceaux. Hermann, Paris1958. MR102797
- [IV] B. Iverson, Cohomology of sheaves. Springer, Berlin, 1986. MR842190
- [Na] V. Navarro-Aznar: Sur la théorie de Hodge des variétés algébriques à singularités isolées. Asterisque130 (1985) 272-307. Zbl0599.14007MR804059
- [Sa1] M. Saito: Mixed Hodge modules. Publ. RIMS, Kyoto Univ.26 (1990), 221-333. Zbl0727.14004MR1047415
- [Sa2] M. Saito: Introduction to mixed Hodge modules. Preprint RIMS-605 (1987), to appear in Astérisque. Zbl0753.32004MR1042805
- [Sa3] M. Saito: Modules de Hodge polarisables. Publ. RIMS, Kyoto Univ.24 (1988), 849-995. Zbl0691.14007MR1000123
- [St1] J. Steenbrink: Mixed Hodge structures associated with isolated singularities. Proc. Symp. Pure Math.40 (1983) 513-536. Zbl0515.14003MR713277
- [St2] J. Steenbrink: Notes on mixed Hodge theory and singularities. To appear, Astérisque.
- [Su] D. Sullivan: Combinatorial invariants of analytic spaces, In: Proceedings of Liverpool Singularities Symposium I, Lecture Notes in Math.192, Springer-Verlag, Berlin, 1971, 165-168. Zbl0227.32005MR278333
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.