# Holomorphic curves into algebraic varieties

### Abstract

This paper establishes a defect relation for algebraically nondegenerate holomorphic mappings into an arbitrary nonsingular complex projective variety $V$ (rather than just the projective space) intersecting possible nonlinear hypersurfaces, extending the result of H. Cartan.

## Authors

Min Ru

Department of Mathematics
University of Houston
Houston, TX 77204
United States