2009/03/17 by Erwan Rousseau, Rousseau, Erwan
Mathematics · #14J17 #32H02 #32Q45 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14J17 #msc:32H02 #msc:32Q45
paper · pdf · doi:10.48550/arxiv.0903.3034
19 pages
arxiv created 2009/03/17 · arxiv updated 2009/12/01
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.