Remarks to Cartan’s Second Main Theorem for holomorphic curves into $\mathbb {P}^N(\mathbb {C})$
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- by Liu Yang, Lei Shi and Xuecheng Pang PDF
- Proc. Amer. Math. Soc. 145 (2017), 3437-3445 Request permission
Abstract:
In 1933, H. Cartan proved a Second Main Theorem for a holomorphic curve into $\mathbb {P}^N(\mathbb {C})$. Here we give the best possible truncated level in Cartan’s result with some examples related to Femart-type equations. In addition, a Second Main Theorem for a holomorphic curve intersecting a fixed hypersurface is also obtained.References
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Additional Information
- Liu Yang
- Affiliation: School of Mathematics and Physics Science and Engineering, Anhui University of Technology, Ma’anshan, 243032, People’s Republic of China
- Email: yangliu20062006@126.com
- Lei Shi
- Affiliation: Department of Mathematics, Guizhou Normal University, Guiyang, 550025, People’s Republic of China
- MR Author ID: 1127761
- Email: sishimath2012@163.com
- Xuecheng Pang
- Affiliation: Department of Mathematics, East China Normal University, Shanghai, 200062, People’s Republic of China
- MR Author ID: 228232
- Email: xcpang@math.ecnu.edu.cn
- Received by editor(s): July 19, 2016
- Received by editor(s) in revised form: September 6, 2016
- Published electronically: April 12, 2017
- Communicated by: Franc Forstneric
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3437-3445
- MSC (2010): Primary 32H30, 32A22, 32H02, 30D05
- DOI: https://doi.org/10.1090/proc/13500
- MathSciNet review: 3652796