Geodesic
Strictly pseudoconvex domains and algebraic varieties
Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 414-422.

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In the paper, we consider applications of strictly pseudoconvex domains to the problems of algebraicity and rationality. We give a new proof of the Kodaira theorem on the algebraicity of a surface and we also prove a multidimensional version of this theorem. Theorems analogous to the Hodge index theorem and the Lefschetz theorem about $(1,1)$-classes are obtained for strictly pseudoconvex domains. Conjectures on the geometry of strictly pseudoconvex domains on algebraic surfaces are formulated. 
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     title = {Strictly pseudoconvex domains and algebraic varieties},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a8/}
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S. Yu. Nemirovski. Strictly pseudoconvex domains and algebraic varieties. Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 414-422. http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a8/

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