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Higgs line bundles, Green-Lazarsfeld sets, and maps of K\"ahler manifolds to curves
Author(s):
Donu
Arapura
Journal:
Bull. Amer. Math. Soc.
26
(1992),
310-314.
MSC (1991):
Primary 14C30
MathSciNet review:
1129312
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Additional information
References:
- [A]
- D. Arapura, Hodge theory with local coefficients on compact varieties, Duke Math. J. \textbf{61} (1990), 531--543. MR 1074307
- [B1]
- A. Beauville, Annulation du $H^1$ et systemes paracanonique sur les surfaces, J. Reine Angew. Math. \textbf{388} (1988), 149--157. MR 944188
- [B2]
- A. Beauville, Annulation du $H^1$ pour fibr\'es en droit plats, Proc. Bayreuth Conf. on Alg. Geom., Springer-Verlag, New York. MR 1178716
- [C]
- F. Catanese, Moduli and classification of irregular Kaehler manifolds$\dots $, Invent. Math. \textbf{104} (1991), 263--289. MR 1098610
- [GL1]
- M. Green and R. Lazarsfeld, Deformation theory, generic vanishing theorems..., Invent. Math. \textbf{90} (1987), 389--407. MR 910207
- [GL2]
- M. Green and R. Lazarsfeld, Higher obstructions of deforming cohomology groups of line bundles, Journal Amer. Math. Soc. \textbf{4} (1991), 87--103. MR 1076513
- [S]
- C. Simpson, Higgs bundles and local systems, preprint. MR 1179076
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00283-5
PII:
S 0273-0979(1992)00283-5
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