Uniqueness problem without multiplicities in value distribution theory

Abstract

Let Hi, //jt be hyperplanes in general position in P m with m > 2. Let A\,... ,Ak be pure (n -1 )-dimensional analytic subsets of C" with codim A t n Aj > 2 whenever / ^ j.Then any linearly nondegenerate meromorphic maps / g,h: C" -> P m with f\Aj = g\Aj = h\Aj and with/'(//,) = g~\H } ) = h~\Hj) = A } for j = 1,...,k satisfy Property (P) if k = 2>m + 1. Consequently such /, g, h are algebraically dependent.

Locations

• Pacific Journal of Mathematics - View - PDF
• Project Euclid (Cornell University) - View - PDF