Capacity Theory on Algebraic Curves

Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. Its main result is an arithmetic one, a generalization of a theorem of Fekete and Szegö which...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Rumely, Robert S., 1952-...., mathématicien
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1378
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Edition sous un autre format:• Capacity theory on algebraic curves, Robert S. Rumely, 1989, Berlin, Springer-Verlag, 1 volume (437 pages), Lecture notes in mathematics, 3-540-51410-4
• Capacity Theory on Algebraic Curves, Texte imprimé, 9783662174364
Inhaltsangabe:
  • Preliminaries
  • Foundations
  • The canonical distance
  • Local capacity theory Archimedean case
  • Local capacity theory Nonarchimedean case
  • Global capacity theory
  • Applications.