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 BundgaardNielsenFox proving Fenchel's conjecture for fuchsian groups.
 Publication:

arXiv eprints
 Pub Date:
 December 2016
 arXiv:
 arXiv:1612.02960
 Bibcode:
 2016arXiv161202960L
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Algebraic Geometry;
 18Fxx;
 30F10;
 30F35;
 14H60
 EPrint:
 13 pages, 1 figure, 1 table