On the relation between Cantor's capacity and the sectional capacity (Q1320603)

The author proves some theorems concerning T. Chinberg's sectional capacity for algebraic varieties. In the case of algebraic curves this capacity is related to another kind of capacity which was introduced by D. Cantor and the author. A quadratic form which determines both kind of capacities is given. In the first part the definitions of the two notions of capacity are recalled. In the main part the author gives a detailed explanation of the machinery which is necessary to prove the theorem. -- In a final section two applications of the theorem are proved: a base-change formula and a pullback formula.