Higher obstructions to deforming cohomology groups of line bundles

Higher obstructions to deforming cohomology groups of line bundles
HTML articles powered by AMS MathViewer

by Mark Green and Robert Lazarsfeld PDF

J. Amer. Math. Soc. 4 (1991), 87-103 Request permission

References

Classification of algebraic and analytic manifolds

Arnaud Beauville, Annulation du $H^1$ et systèmes paracanoniques sur les surfaces, J. Reine Angew. Math. 388 (1988), 149–157 (French). MR 944188, DOI 10.1515/crll.1988.388.149
F. Catanese, Moduli of surfaces of general type, Algebraic geometry—open problems (Ravello, 1982) Lecture Notes in Math., vol. 997, Springer, Berlin-New York, 1983, pp. 90–112. MR 714742

Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations

Mark Green and Robert Lazarsfeld, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville, Invent. Math. 90 (1987), no. 2, 389–407. MR 910207, DOI 10.1007/BF01388711
Mark Green and Robert Lazarsfeld, A deformation theory for cohomology of analytic vector bundles on Kähler manifolds, with applications, Mathematical aspects of string theory (San Diego, Calif., 1986) Adv. Ser. Math. Phys., vol. 1, World Sci. Publishing, Singapore, 1987, pp. 416–440. MR 915835
William M. Goldman and John J. Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 43–96. MR 972343

Sur le groupe fondamental d’une variété Kählerienne

Ziv Ran, On subvarieties of abelian varieties, Invent. Math. 62 (1981), no. 3, 459–479. MR 604839, DOI 10.1007/BF01394255

Strong rigidity for Kaehler manifolds and the construction of bounded holomorphic functions