The second main theorem of holomorphic curves into projective spaces
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Abstract:
By utilizing Jacobian sections introduced by Stoll, we prove a second main theorem of holomorphic curves into projective spaces for hypersurfaces under certain conditions on the jets of the curves. The precise conditions are listed in three equations in the introduction. This solves a weaker form of Griffiths’ conjecture and only for a special class of holomorphic curves.References
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Additional Information
- Pei-Chu Hu
- Affiliation: Department of Mathematics, Shandong University, Jinan 250100, Shandong, People’s Republic of China
- Email: pchu@sdu.edu.cn
- Chung-Chun Yang
- Affiliation: Department of Mathematics, The Hong Kong University of Science & Technology, Hong Kong, People’s Republic of China
- Email: chungchun.yang@gmail.com
- Received by editor(s): September 16, 2007
- Received by editor(s) in revised form: December 17, 2009
- Published electronically: July 26, 2011
- Additional Notes: The work of the first author was partially supported by the Natural Science Foundation of China and Shandong
The second author was partially supported by a UGC Grant of Hong Kong: Project No. 604103. - © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 363 (2011), 6465-6479
- MSC (2010): Primary 32H02, 32H25
- DOI: https://doi.org/10.1090/S0002-9947-2011-05394-8
- MathSciNet review: 2833564