In this paper,by using Seshadri constants for subschemes,the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in(weak)subgeneral position.As an applic...In this paper,by using Seshadri constants for subschemes,the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in(weak)subgeneral position.As an application of his second main theorem,he obtain a Brody hyperbolicity result for the complement of nef effective divisors.He also give the corresponding Schmidt’s subspace theorem and arithmetic hyperbolicity result in Diophantine approximation.展开更多
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 t...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.展开更多
基金supported by the National Natural Science Foundation of China(No.11801366)。
文摘In this paper,by using Seshadri constants for subschemes,the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in(weak)subgeneral position.As an application of his second main theorem,he obtain a Brody hyperbolicity result for the complement of nef effective divisors.He also give the corresponding Schmidt’s subspace theorem and arithmetic hyperbolicity result in Diophantine approximation.
基金supported by the National Natural Science Foundation of China(Nos.12071081,12271275,11801366)LMNS(Fudan University)。
文摘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.