Cartier and Weil Divisors on Varieties with Quotient Singularities

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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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Publication date Created: 2011-04-29

Publication date Updated: 2015-06-09

Article

DOI: 10.1142/S0129167X14501006

ArXiV ID: 1104.5628

SO-VID: 6f42e83b-6c83-480e-bd8b-9628a6b56ef1

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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ACM classes 32S25, 32S45

Journal reference Internat. J. Math. 25 (2014), no. 11, 1450100, 20 pp

Comments 16 pages

Categories math.AG

ScienceOpen disciplines: Geometry & Topology

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ScienceOpen disciplines: Geometry & Topology

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