On the relation between Cantor's capacity and the sectional capacity
type: Item
instance of: scholarly article
title: On the relation between Cantor's capacity and the sectional capacity
zbMATH Open document ID: 0808.14023
DOI: 10.1215/S0012-7094-93-07011-1
published in: Duke Mathematical Journal
publication date: 1994-04-28T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 14H30
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 558975
zbMATH Keywords: sectional capacity
author: Robert S. Rumely
reviewed by: Guido Van Steen
MaRDI profile type: Publication
cites work: On an extension of the definition of transfinite diameter and some applications.
cites work: Q3984268
cites work: On algebraic equations with integral coefficients whose roots belong to a given point set
cites work: Capacity theory on algebraic curves
cites work: Q5846813
full work available at URL: s0012-7094-93-07011-1
OpenAlex ID: W1532124907
Recommended article: Capacities of certain Cantor sets
Recommended article: Q3374394
Recommended article: Q4868958
Recommended article: Q4347551
Recommended article: On limiting relations for capacities
Recommended article: Relative \(\infty\)-capacity and its affinization
description: scientific article; zbMATH DE number 558975