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Showing papers on "Toric variety published in 1978"


Journal ArticleDOI
TL;DR: Affine toric varieties have been studied in this article, where the definition of an affine Toric variety and its properties have been discussed, including cones, lattices, and semigroups.
Abstract: ContentsIntroductionChapter I Affine toric varieties § 1 Cones, lattices, and semigroups § 2 The definition of an affine toric variety § 3 Properties of toric varieties § 4 Differential forms on toric varietiesChapter II General toric varieties § 5 Fans and their associated toric varieties § 6 Linear systems § 7 The cohomology of invertible sheaves § 8 Resolution of singularities § 9 The fundamental groupChapter III Intersection theory § 10 The Chow ring § 11 The Riemann-Roch theorem § 12 Complex cohomologyChapter IV The analytic theory § 13 Toroidal varieties § 14 Quasi-smooth varieties § 15 Differential forms with logarithmic polesAppendix 1 Depth and local cohomologyAppendix 2 The exterior algebraAppendix 3 DifferentialsReferences

1,081 citations