Non-archimedean analytic curves in the complements of hypersurface divisors Original Research Article

We study the degeneration dimension of non-archimedean analytic maps into the complement of hypersurface divisors of smooth projective varieties. We also show that there exist no non-archimedean analytic maps into image where Di, 1less-than-or-equals, slantiless-than-or-equals, slantn, are hypersurfaces of degree at least 2 in general position and intersecting transversally. Moreover, we prove that there exist no non-archimedean analytic maps into image when D1, D2 are generic plane curves with degD1+degD2greater-or-equal, slanted4.