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math.AG2016★ 1 cited
Towards a link theoretic characterization of smoothness
Tommaso de Fernex, Yu-Chao Tu
A theorem of Mumford states that, on complex surfaces, any normal isolated singularity whose link is diffeomorphic to a sphere is actually a smooth point. While this property fails…
math.AG2013
Higher ramification loci over homogeneous spaces
Yu-Chao Tu
We generalize the Gaffney-Lazarsfeld theorem on higher ramification loci of branched coverings of to homogeneous spaces with Picard number one.