摘要
Let k be an algebraically closed ûeld completewith respect to a non-Archimedean absolute value of arbitrary characteristic. Let DË , . . . , Dn be eòective nef divisors intersecting transversally in an n-dimensional nonsingular projective variety X. We study the degeneracy of non-Archimedean analytic maps from k into X U n i =1 Di under various geometric conditions. When X is a rational ruled surface and DË and Dz are ample, we obtain a necessary and suõcient condition such that there is no non-Archimedean analytic map from k into X D1 ∪ D2. Using the dictionary between non-Archimedean Nevanlinna theory and Diophantine approximation that originated in earlier work with T. T. H. An, we also study arithmetic analogues of these problems, establishing results on integral points on these varieties over Z or the ring of integers of an imaginary quadratic ûeld.