Existence of the sectional capacity

Abstract

Introduction The standard hypothesis The definition of the sectional capacity Reductions Existence of the monic basis for very ample line bundles Zaharjuta's construction Local capacities Existence of the global sectional capacity A positivity criterion Base change Pullbacks Products Continuity, Part I Continuity, Part II Local capacities of sets Approximation theorems Appendix A. Ample divisors and cohomology Appendix B. A lifting lemma Appendix C. Bounds for volumes of convex bodies Bibliography.