## Kodai Mathematical Journal

### A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties

#### Abstract

In this paper, a non-integrated defect relation for meromorphic maps from complete Kähler manifolds $M$ into smooth projective algebraic varieties $V$ intersecting hypersurfaces located in $k$-subgeneral position (see (1.5) below) is proved. The novelty of this result lies in that both the upper bound and the truncation level of our defect relation depend only on $k$, $\dim_{\,\mathbf{C}}(V)$ and the degrees of the hypersurfaces considered; besides, this defect relation recovers Hirotaka Fujimoto [6, Theorem 1.1] when subjected to the same conditions.

#### Article information

Source
Kodai Math. J., Volume 41, Number 2 (2018), 284-300.

Dates
First available in Project Euclid: 2 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1530496842

Digital Object Identifier
doi:10.2996/kmj/1530496842

Mathematical Reviews number (MathSciNet)
MR3824851

Zentralblatt MATH identifier
06936453

#### Citation

Chen, Wei; Han, Qi. A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties. Kodai Math. J. 41 (2018), no. 2, 284--300. doi:10.2996/kmj/1530496842. https://projecteuclid.org/euclid.kmj/1530496842