# 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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