Lemma on logarithmic derivative over directed manifolds
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912688217522176 |
|---|---|
| author | Lin, Peiqiang |
| author_facet | Lin, Peiqiang |
| contents | In this paper, we generalize Ahlfors' lemma on logarithmic derivative to holomorphic tangent curves of directed projective manifolds intersecting closed subschemes. As a consequence, we obtain Algebro-Geometric Ahlfors' Lemma on Logarithmic Derivative (AALD for short) and General form of Algebro-Geometric Version of Ahlfors' Lemma on Logarithmic Derivative (GAALD for short) for holomorphic tangent curves of directed projective manifolds. We also get a transform of AALD and GAALD with respect to a linear system. Finally, we get the Second Main Theorem type results for holomorphic curves as the applications of GAALD and its transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02972 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lemma on logarithmic derivative over directed manifolds Lin, Peiqiang Complex Variables Algebraic Geometry 32H30 In this paper, we generalize Ahlfors' lemma on logarithmic derivative to holomorphic tangent curves of directed projective manifolds intersecting closed subschemes. As a consequence, we obtain Algebro-Geometric Ahlfors' Lemma on Logarithmic Derivative (AALD for short) and General form of Algebro-Geometric Version of Ahlfors' Lemma on Logarithmic Derivative (GAALD for short) for holomorphic tangent curves of directed projective manifolds. We also get a transform of AALD and GAALD with respect to a linear system. Finally, we get the Second Main Theorem type results for holomorphic curves as the applications of GAALD and its transform. |
| title | Lemma on logarithmic derivative over directed manifolds |
| topic | Complex Variables Algebraic Geometry 32H30 |
| url | https://arxiv.org/abs/2511.02972 |