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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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 | Similar articles | Additional information

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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