书目名称 | Real Algebraic Varieties | 编辑 | Frédéric Mangolte | 视频video | | 概述 | The first book to introduce topological methods of the theory of real algebraic varieties to non-specialists.Presents both classical results and recent developments in the topology and geometry of var | 丛书名称 | Springer Monographs in Mathematics | 图书封面 |  | 描述 | .This book gives a systematic presentation of real algebraic varieties. ..Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable...This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book...The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledgeis presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert‘s famous sixteenth problem...Vario | 出版日期 | Book 2020 | 关键词 | Real Algebraic Geometry; topology of algebraic varieties; algebraic cycle; Nash conjecture; Cremona grou | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-43104-4 | isbn_softcover | 978-3-030-43106-8 | isbn_ebook | 978-3-030-43104-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | issn_series | 1439-7382 | copyright | Springer Nature Switzerland AG 2020 |
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