Cartier and Weil Divisors on Varieties with Quotient Singularities

Details Cartier and Weil Divisors on Varieties with Quotient Singularities Cartier and Weil Divisors on Varieties with Quotient Singularities

2011-04-29

arxiv.org/abs/1104.5628v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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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