Toward a Numerical Theory of Ampleness

1966/11/01 by Steven L. Kleiman · 13 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Mathematics #Calculus (dental) #Mathematical analysis

paper · doi:10.2307/1970447

openalex publication_date 1966/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

Introduction Chapter I. Intersection Numbers ? 1. The polynomial theorem of Snapper ? 2. The definition and some properties of intersection numbers ? 3. Degrees and Hilbert polynomials ? 4. Numerically effective and numerically trivial invertible sheaves Chapter II. Some Vanishing Theorems and Related Results ? 1. M-families ?2. Some vanishing theorems and related results Chapter III. Ampleness and Pseudoampleness ? 1. The numerical characterization of ampleness ? 2. Pseudoampleness Chapter IV. The Ample Cone ? 1. The vector space A'(V) ? 2. The ample cone ? 3. Polarization ? 4. Relativization ? 5. The characteristic cone of a proper morphism Bibliography

Citations

• An Example of a Non-Kahlerian Complex-Analytic Deformation of Kahlerian Complex Structures

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