论文标题

在高表面除数的补充中,非一切型分析曲线

Non-Archimedean analytic curves in the complements of hypersurface divisors

论文作者

An, Ta Thi Hoai, Wang, J. T. -Y., Wong, P. -M.

论文摘要

我们研究了非架构分析图的退化维度,使其与光滑投射品种的超表面分裂的补充。我们还表明,在$ p^n \ setMinus \ cup_ {i = 1}^n d_i $中,没有非架构的分析图,其中$ d_i,1 \ le i i \ le n $,至少是2个至少2个,至少2个。此外,我们证明,当$ d_1,d_2 $是通用平面曲线时,没有deg $ d_1+$ $ $ $ $ d $ d $ d d _2 \ ge ge 4 $。

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 $P^n\setminus\cup_{i= 1}^n D_i$ where $D_i, 1\le i\le n$, 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 $P^2\setminus\cup_{i=1}^2 D_i$ when $D_1, D_2$ are generic plane curves with deg$D_1+$deg$D_2\ge 4$.

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