到任意projective varieties的非阿基米德解析映射的亏损关系
Defect relation for non-Archimedean analytic maps into arbitrary projective varieties
摘要:
若$f$是嵌入$P^N$的射影簇$X$中的非阿基米德解析曲线,且$D_1,\dots,D_q$是$P^N$与$X,$在一般位置上的超曲面,则证明了亏格关系:$$ \sum_{j=1}^q δ(f,D_j) \le \dim X. $$
英文摘要:
If $f$ is a non-Archimedean analytic curve in a projective variety $X$ embedded in $P^N$ and if $D_1,\dots,D_q$ are hypersurfaces of $P^N$ in general position with $X,$ then we prove the defect relation: $$ \sum_{j=1}^q δ(f,D_j) \le \dim X. $$
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