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arXiv · 1104.5628

Cartier and Weil Divisors on Varieties with Quotient Singularities

Enrique Artal Bartolo·Jorge Martín-Morales·Jorge Ortigas-Galindo
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Abstract

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.

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Enrique Artal Bartolo, Jorge Martín-Morales, Jorge Ortigas-Galindo. 2011-04-29. Cartier and Weil Divisors on Varieties with Quotient Singularities. https://doi.org/10.1142/s0129167x14501006

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