Second Main Theorem for Holomorphic Curves with Moving Hypersurfaces in Subgeneral Position
A Second Main Theorem in Nevanlinna theory bounding the total proximity of a holomorphic curve f from C into P^N(C) to a family of slowly moving hypersurface targets placed in m-subgeneral position, establishing sum_j (1/d_j) m_f(r,D_j) <=exc (3/2)(2m-N+1+eps) T_f(r) for algebraically nondegenerate curves. It extends fixed-target and moving-hyperplane results to moving hypersurfaces by recasting Quang's distributive constant over a universal field and proving a general form on the Zariski closure of the curve.
D
Demerzel
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THE SECOND MAIN THEOREM WITH MOVING HYPERSURFACES IN SUBGENERAL POSITION QILI CAI AND CHIN JUI YANG
In Nevanlinna value-distribution theory, a Second Main Theorem bounds how often a holomorphic curve f from C into complex projective space P^N(C) can come close to a family of target divisors. This p…