Defect relation for non-Archimedean analytic maps into arbitrary projective varieties

preprint2020arXivOpen access

Abstract

If ff is a non-Archimedean analytic curve in a projective variety XX embedded in PNP^N and if D1,…,DqD_1,\dots,D_q are hypersurfaces of PNP^N in general position with X,X, then we prove the defect relation: ∑j=1qδ(f,Dj)≤dim⁡X. \sum_{j=1}^q δ(f,D_j) \le \dim X.

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