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Higher obstructions to deforming cohomology groups of line bundles
Author(s):
Mark
Green;
Robert
Lazarsfeld
Journal:
J. Amer. Math. Soc.
4
(1991),
87-103.
MSC:
Primary 32G08;
Secondary 14K30, 32J25
MathSciNet review:
1076513
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Additional information
References:
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- A. Beauville, in Ueno (ed.), Classification of algebraic and analytic manifolds, Birkhäuser, 1983, pp. 619-620.
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- -, Annulation du
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- F. Catanese, Moduli of surfaces of general type, Proc. of the 1982 Conf. at Ravello, Lecture Notes in Math., vol. 997, Springer-Verlag, 1983, pp. 90-112. MR 714742 (84k:14026)
- [C2]
- -, Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, preprint.
- [GL1]
- M. Green and R. Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese, and Beauville, Invent. Math. 90 (1987), 389-407. MR 910207 (89b:32025)
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- -, A deformation theory for cohomology of analytic vector bundles on Kähler manifolds, with applications, Mathematical Aspects of String Theory, World Scientific, 1987, pp. 416-440. MR 915835
- [GM]
- W. Goldman and J. Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. IHES 67 (1988), 43-96. MR 972343 (90b:32041)
- [Gr]
- M. Gromov, Sur le groupe fondamental d'une variété Kählerienne, preprint.
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- Z. Ran, On subvarieties of abelian varieties, Invent. Math. 62 (1981), 459-479. MR 604839 (82d:14024)
- [S]
- Y. T. Siu, Strong rigidity for Kaehler manifolds and the construction of bounded holomorphic functions, Discrete Groups and Analysis, Birkhäuser, 1981, pp. 44-78.
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Additional Information:
DOI:
10.1090/S0894-0347-1991-1076513-1
PII:
S0894-0347-1991-1076513-1
Copyright of article:
Copyright
1991,
American Mathematical Society
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