Geodesic
Bochner–Hartogs type extension theorem for roots and logarithms of holomorphic line bundles
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 269-287
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We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when the dimension and Morse index of a critical point is 2. In that case we give an explicit description of obstructions to the extension. 
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     title = {Bochner{\textendash}Hartogs type extension theorem for roots and logarithms of holomorphic line bundles},
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S. Ivashkovich. Bochner–Hartogs type extension theorem for roots and logarithms of holomorphic line bundles. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 269-287. http://geodesic.mathdoc.fr/item/TM_2012_279_a17/

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