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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

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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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 $             {H^1}$ et systèmes paracanoniques sur les surfaces, J. Reine Angew. Math. 388 (1988), 149-157. MR 944188 (89i:14032)

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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)

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-, 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.

[R]
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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