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Non-Archimedean analytic curves in the complements of hypersurface divisors
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Non-Archimedean analytic curves in the complements of hypersurface divisors

Ta Thi Hoai An, Julie Tzu-Yueh WangPit-Mann Wong
Journal of Number Theory, 卷.128(8), 頁.2275
2008

摘要

Non-Archimedean;analytic curves;complements;hypersurface divisors
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 Pn \\\\\\\\\\\\\\\\ n i=1 Di 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 P2 \\\\\\\\\\\\\\\\ 2 i=1 Di when D1, D2 are generic plane curves with degD1 + degD2 4. ©

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