Holomorphic discs with dense images

Details Holomorphic discs with dense images Holomorphic discs with dense images

2004-10-18

arxiv.org/abs/math/0410390v1

Math. Res. Lett., 12 (2005), 265--268

Mathematics

Complex Variables

Scientific paper

We prove that for any complex manifold X, the set of all holomorphic maps
from the unit disc to X whose images are everywhere dense in X forms a dense
subset in the space of all holomorphic maps from the disc to X. We show by an
example that this need not hold for maps from the disc to complex spaces with
singularities.

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