Abstract
<abstract><p>The aim of this paper is to establish the second main theorem for holomorphic curves from the annulus into a complex projective variety intersecting an arbitrary family of hypersurfaces. This is done by using the notion of "Distributive Constant" for a family of hypersurfaces with respect to a complex projective variety developed by Quang. We also give an explicit estimate for the level of truncation.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference18 articles.
1. R. Nevanlinna, Zur theorie der meromorphen funktionen, Acta. Math., 46 (1925), 1–99. https://doi.org/10.1007/BF02543858
2. H. Cartan, Sur les zeros des combinaisions linearires de p fonctions holomorpes donnees, Mathematica, 7 (1933), 80–103.
3. E. I. Nochka, On the theory of meromorphic curves, Dokl. Akad. Nauk SSSR, 269 (1983), 547–552.
4. M. Ru, A defect relation for holomorphic curves intersecting hypersurfaces, Amer. J. Math., 126 (2004), 215–226. https://doi.org/10.1353/ajm.2004.0006
5. M. Ru, Holomorphic curves into algebraic varieties, Ann. Math., 169 (2009), 255–267. https://doi.org/10.4007/annals.2009.169.255