Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter
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Joji Kajiwara, Kwang Ho Shon, Miki Tsuji (1998)
Czechoslovak Mathematical Journal
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A complex analytic space is said to have the D*-extension property if and only if any holomorphic map from the punctured disk to the given space extends to a holomorphic map from the whole disk to the same space. A Hartogs domain H over the base X (a complex space) is a subset of X x C where all the fibers over X are disks centered at the origin, possibly of infinite radius. Denote by φ the function giving the logarithm of the reciprocal of the radius of the fibers, so that, when X is...
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