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Hodge theory with local coefficients and fundamental groups of varieties
Author(s):
Donu
Arapura
Journal:
Bull. Amer. Math. Soc.
20
(1989),
169-172.
MSC (1985):
Primary 14F25, 14F45
MathSciNet review:
974423
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References:
- [CE] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N.J., 1956. MR 77480
- [D1] P. Deligne, Théorie de Hodge. II, Publ. Math. Inst. Hautes Études Sci. 40 (1971), 5-55. MR 498551
- [D2] P. Deligne, Théorie de Hodge. III, Publ. Math. Inst. Hautes Études Sci. 44 (1974), 5-77. MR 498552
- [H] R. Hartshorne, Algebraic geometry, Springer-Verlag, Berlin and New York, 1977. MR 463157
- [JR] F. E. A. Johnson and E. Rees, On the fundamental group of complex algebraic manifold, Bull. London Math. Soc. 19 (1987), 463-466. MR 898726
- [M] P. May, Simplicial objects in algebraic topology, Univ. of Chicago Press, Chicago, Ill., 1967.
- [S] E. Spanier, Algebraic topology, McGraw-Hill, 1966. MR 210112
- [T] K. Timmerscheidt, Mixed Hodge theory for unitary local systems, J. Reine Angew. Math. 379(1987), 152-171. MR 903638
- [Z.] S. Zucker, Hodge theory with degenerating coefficients, Ann. of Math. (2) 109 (1979), 415-476. MR 534758
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15752-2
PII:
S 0273-0979(1989)15752-2
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