THE SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES INTERSECTING HYPERSURFACES WITH CASORATI DETERMINANT INTO COMPLEX PROJECTIVE SPACES

Let f : C -> P-n(C) be a holomorphic curves with hyperorder strictly less than 1, and algebraically nondegenerate over the field P-c(1) which consists of c-periodic meromorphic functions on C. Let {Q(j)}(j=1)(q) be fixed or c-periodic slowly moving hypersurfaces with degree di (j is an element of {1,...,q}) in (weakly) N-subgeneral position in P-n(C). In this paper, we prove a difference version of the second main theorem for f intersecting {Q(j)}(j=1)(q) by using the Casorati determinant. A difference counterpart of the truncated second main theorem is also obtained. Our results extend the second main theorems for differences with fixed hyperplanes [9] or c-periodic slowly moving hyperplanes [10].