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Non-archimedean analytic curves in the complements of hypersurface divisors |
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| Authors: | Ta Thi Hoai An Julie Tzu-Yueh Wang Pit-Mann Wong |
| Institution: | a Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Viet Nam b Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, ROC c Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA |
| Abstract: | 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  where Di, 1?i?n, 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  when D1, D2 are generic plane curves with degD1+degD2?4. |
| Keywords: | 14G22 11J97 30D35 |
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