The second main theorem of holomorphic curves into projective spaces

Hu, Pei-Chu; Yang, Chung-Chun

doi:10.1090/S0002-9947-2011-05394-8

The second main theorem of holomorphic curves into projective spaces
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Trans. Amer. Math. Soc. 363 (2011), 6465-6479 Request permission

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.

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