| 书目名称 | Complex Analytic Desingularization | | 编辑 | José Manuel Aroca,Heisuke Hironaka,José Luis Vicen | | 视频video | | | 概述 | Presents a complete and self-contained proof of the theorem of desingularization for complex-analytic spaces.Contains an elegant presentation of all the tools of complex-analytic geometry needed to st | | 图书封面 |  | | 描述 | [From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka‘s general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely ne | | 出版日期 | Book 2018 | | 关键词 | algebraic geometry; resolution of singularities; desingularization theorem; complex analytic geometry; c | | 版次 | 1 | | doi | https://doi.org/10.1007/978-4-431-49822-3 | | isbn_ebook | 978-4-431-49822-3 | | copyright | Springer Japan KK, part of Springer Nature 2018 |
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发表于 2025-3-21 18:53:01
