Weighted projective lines and Riemann surfaces
classification
🧮 math.RT
math.AG
keywords
categoriescoherentprojectiveriemannsheavessurfacesweightedback
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For the base field of complex numbers we discuss the relationship between categories of coherent sheaves on compact Riemann surfaces and categories of coherent sheaves on weighted smooth projective curves. This is done by bringing back to life an old theorem of Bundgaard-Nielsen-Fox proving Fenchel's conjecture for fuchsian groups.
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