Degeneracy of holomorphic maps via orbifolds

Details Degeneracy of holomorphic maps via orbifolds Degeneracy of holomorphic maps via orbifolds

2009-03-17

arxiv.org/abs/0903.3034v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We use orbifold structures to deduce degeneracy statements for holomorphic
maps into logarithmic surfaces. We improve former results in the smooth case
and generalize them to singular pairs. In particular, we give applications on
nodal surfaces and complements of singular plane curves.

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