All Items 2 Collection 1 The Octagon 2 Contributor 1 Cox, David A. (Department of Mathematics and Statistics, Amherst College) 2 Topic 2 Geometry, Algebraic 2 Toric varieties 2 Part Of 1 The Amherst College Octagon 2 Genre 1 Article 2 Subject 2 Geometry, Algebraic 2 Toric varieties 2 The homogeneous coordinate ring of a toric variety [Erratum] Cox, David A. (Department of Mathematics and Statistics, Amherst College) An erratum that corrects an error in the proof of Proposition 4.3 in the paper "The Homogeneous Coordinate Ring of a Toric Variety." 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. The homogeneous coordinate ring of a toric variety [Erratum] The homogeneous coordinate ring of a toric variety Cox, David A. (Department of Mathematics and Statistics, Amherst College) The original version of a paper, published in 1995. The 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 homogeneous coordinate ring of a toric variety