| 书目名称 | What is the Genus? | | 编辑 | Patrick Popescu-Pampu | | 视频video | | | 概述 | Presents, through the works of the pioneers, the sophisticated evolution of one of the most important notions of geometry and topology.Features many illustrations which aid the understanding of the mo | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena.. | | 出版日期 | Book 2016 | | 关键词 | 01A05, 14-03, 30-03, 55-03; Genus; Riemann surfaces; Algebraic varieties; Homology; Riemann-Roch theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-42312-8 | | isbn_softcover | 978-3-319-42311-1 | | isbn_ebook | 978-3-319-42312-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 19:10:43
