Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position

Qingchun Ji , Jun Yao , Guangsheng Yu

Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (6) : 1023 -1032.

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Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (6) : 1023 -1032. DOI: 10.1007/s11401-022-0375-9
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Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position

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Abstract

In this paper, the authors introduce the index of subgeneral position for closed subschemes and obtain a second main theorems based on this notion. They also give the corresponding Schmidt’s subspace type theorem via the analogue between Nevanlinna theory and Diophantine approximation.

Keywords

Nevanlinna theory / Second main theorem / Holomorphic curve / Subgeneral position / Closed subschemes / Schmidt’s subspace theorem

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Qingchun Ji, Jun Yao, Guangsheng Yu. Holomorphic Curves into Projective Varieties Intersecting Closed Subschemes in Subgeneral Position. Chinese Annals of Mathematics, Series B, 2022, 43(6): 1023-1032 DOI:10.1007/s11401-022-0375-9

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