Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 57, Number 1 (2005), 233-258.
Deficiencies of meromorphic mappings for hypersurfaces
In this paper we first prove that, for every hypersurface of degree in a complex projective space, there exists a holomorphic curve from the complex plane into the projective space whose deficiency for is positive and less than one. Using this result, we construct meromorphic mappings from the complex -space into the complex projective space with the same properties. We also investigate the effect of resolution of singularities to defects of meromorphic mappings.
J. Math. Soc. Japan, Volume 57, Number 1 (2005), 233-258.
First available in Project Euclid: 13 October 2006
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
AIHARA, Yoshihiro; MORI, Seiki. Deficiencies of meromorphic mappings for hypersurfaces. J. Math. Soc. Japan 57 (2005), no. 1, 233--258. doi:10.2969/jmsj/1160745824. https://projecteuclid.org/euclid.jmsj/1160745824