| 书目名称 | Capacity Theory on Algebraic Curves |
| 编辑 | Robert S. Rumely |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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 gives a sharp existence/finiteness criterion for algebraic points whose conjugates lie near a specified set on a curve. The book brings out a deep connection between the classical Green‘s functions of analysis and Néron‘s local height pairings; it also points to an interpretation of capacity as a kind of intersection index in the framework of Arakelov Theory. It is a research monograph and will primarily be of interest to number theorists and algebraic geometers; because of applications of the theory, it may also be of interest to logicians. The theory presented generalizes one due to David Cantor for the projective line. As with most adelic theories, it has a local and a global part. Let /K be a smooth, complete curve over a global field; let Kv denote the algebraic closure of any completion of K. The book first develops capacity theory over local fields, defining analogues of the clas |
| 出版日期 | Book 1989 |
| 关键词 | Divisor; algebra; algebraic curve; number theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0084525 |
| isbn_softcover | 978-3-540-51410-7 |
| isbn_ebook | 978-3-540-46209-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1989 |
发表于 2025-3-21 19:38:19
