Capacity theory on algebraic curves (notice n° 3252)
| 000 -LEADER | |
|---|---|
| fixed length control field | 02506nam a2200277 u 4500 |
| 001 - CONTROL NUMBER | |
| control field | UNI0000328 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20161122155942.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130927s1989 XX eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540514104 (paperback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540514107 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DCLC |
| 040 ## - CATALOGING SOURCE | |
| Modifying agency | IMIST |
| Description conventions | AFNOR |
| 041 1# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.3 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Rumely, Robert S. |
| 245 #0 - TITLE STATEMENT | |
| Title | Capacity theory on algebraic curves |
| Statement of responsibility, etc | Robert S. Rumely |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1989th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Berlin |
| -- | Heidelberg |
| Name of publisher, distributor, etc | Springer |
| Date of publication, distribution, etc | 1989 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 438 p. |
| Dimensions | 23 cm. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture notes in mathematics |
| Volume number/sequential designation | 1378 |
| 500 ## - GENERAL NOTE | |
| General note | 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 Szeg� 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 N�ron'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 classical logarithmic capacity and Green's functions for sets in (Kv). It then develops a global theory, defining the capacity of a galois-stable set in (Kv) relative to an effictive global algebraic divisor. The main technical result is the construction of global algebraic functions whose logarithms closely approximate Green's functions at all places of K. These functions are used in proving the generalized Fekete-Szeg� theorem; because of their mapping properties, they may be expected to have other applications as well. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Capacity theory (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curves, Algebraic |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nonlinear theories |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Potential theory (Mathematics) |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
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| La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 20642 | 512.3 RUM | 0000000018401 | 11/22/2016 | 11/22/2016 | Livre |