On defect relations of moving hyperplanes

Source abstract

The defect relation gives the best-possible estimate, where f is a linearly non-degenerate holomorphic curve in P n (C) and H 1 , …, H q are hyperplanes in P n (C) which are in general position. However, the case of moving hyperplanes has ever got only n(n + 1) instead of n + 1 (Stoll [4]) and it has not yet been known whether this bound is best-possible or not. In this paper we shall give some particular cases which have the bound n + 1.