Weighted projective lines and Riemann surfaces

Abstract

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.

13 pages, 1 figure, 1 table

Cited by in corpus (2)

• Admissible homomorphisms and equivariant relations between weighted projective lines
• The algebraic theory of fuchsian singularities