| 书目名称 | Number Fields and Function Fields – Two Parallel Worlds | | 编辑 | Gerard Geer,Ben Moonen,René Schoof | | 视频video | | | 概述 | Invited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields.Topics range from Arakelov geometry, the search for a theory of varieties ov | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject...As a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov‘s new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings‘ hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa...These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and .t.-motives...This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and ari | | 出版日期 | Book 2005 | | 关键词 | Arithmetic; Finite; Grad; Invariant; algebra; finite field; function; geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/0-8176-4447-4 | | isbn_ebook | 978-0-8176-4447-5Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Boston 2005 |
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发表于 2025-3-21 16:13:55
