Deficiencies of meromorphic mappings for hypersurfaces
AIHARA, Yoshihiro ; MORI, Seiki
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 233-258 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we first prove that, for every hypersurface $D$ of degree $d$ in a complex projective space, there exists a holomorphic curve $f$ from the complex plane into the projective space whose deficiency for $D$ is positive and less than one. Using this result, we construct meromorphic mappings from the complex $m$ -space into the complex projective space with the same properties. We also investigate the effect of resolution of singularities to defects of meromorphic mappings.
Publié le : 2005-01-14
Classification:  meromorphic mapping,  deficiency,  hypersurface,  Nevanlinna theory,  32H30 
@article{1160745824,
     author = {AIHARA, Yoshihiro and MORI, Seiki},
     title = {Deficiencies of meromorphic mappings for hypersurfaces},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 233-258},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1160745824}
}

AIHARA, Yoshihiro; MORI, Seiki. Deficiencies of meromorphic mappings for hypersurfaces. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  233-258. http://gdmltest.u-ga.fr/item/1160745824/