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Erratum to "The Homogeneous Coordinate Ring of a Toric Variety", along with the original paper

David A. Cox
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Abstract

This submission consists of two papers: 1) an erratum that corrects an error in the proof of Proposition 4.3 in my paper "The Homogeneous Coordinate Ring of a Toric Variety", and 2) the original (unchanged) version of the paper, published in 1995. The original paper introduced the homogeneous coordinate ring of a toric variety (now called the total coordinate ring or Cox ring) and gave a quotient construction. The paper also studied sheaves on a toric variety, and in Section 4 described its automorphism group. The error in the proof of Proposition 4.3 resulted from the faulty assumption that a certain set of graded endomorphisms forms a ring; rather, it is a monoid under composition. The erratum notes this error and gives a correct proof of the proposition.

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David A. Cox. 2014-03-06. Erratum to "The Homogeneous Coordinate Ring of a Toric Variety", along with the original paper. https://arxiv.org/abs/alg-geom/9210008

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