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  • 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
    The homogeneous coordinate ring of a toric variety
  • 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 [Erratum]
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