Cartier and Weil Divisors on Varieties with Quotient Singularities

Enrique Artal Bartolo, Jorge Martín-Morales, Jorge Ortigas-Galindo

Published 2011-04-29, updated 2015-06-09Version 2

The main goal of this paper is to show that the notions of Weil and Cartier $\mathbb{Q}$-divisors coincide for $V$-manifolds and give a procedure to express a rational Weil divisor as a rational Cartier divisor. The theory is illustrated on weighted projective spaces and weighted blow-ups.