Cartier and Weil Divisors on Varieties with Quotient Singularities

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

doi:10.1142/S0129167X14501006

Cartier and Weil Divisors on Varieties with Quotient Singularities

Algebraic Geometry 2018-05-04 v2

Authors: 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.

Keywords

Weil divisor Cartier divisor quotient singularity V-manifold weighted projective space weighted blow-up

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@article{arxiv.1104.5628,
  title  = {Cartier and Weil Divisors on Varieties with Quotient Singularities},
  author = {Enrique Artal Bartolo and Jorge Martín-Morales and Jorge Ortigas-Galindo},
  journal= {arXiv preprint arXiv:1104.5628},
  year   = {2018}
}

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16 pages

Cartier and Weil Divisors on Varieties with Quotient Singularities

Abstract

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