Cartier and Weil Divisors on Varieties with Quotient Singularities

@article{ArtalBartolo2014CartierAW,
  title={Cartier and Weil Divisors on Varieties with Quotient Singularities},
  author={Enrique Artal Bartolo and Jorge Mart'in-Morales and Jorge Ortigas-Galindo},
  journal={International Journal of Mathematics},
  year={2014},
  volume={25},
  pages={1450100}
}
It is well-known that the notions of Weil and Cartier Q-divisors coincide for V-manifolds. The main goal of this paper is to give a direct constructive proof of this result providing a procedure to express explicitly a Weil divisor as a rational Cartier divisor. The theory is illustrated on weighted projective spaces and weighted blow-ups. 

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