| 书目名称 | Intersection Homology & Perverse Sheaves |
| 副标题 | with Applications to |
| 编辑 | Laurenţiu G. Maxim |
| 视频video | |
| 概述 | Offers a taste of the main topics in the field through concrete examples and geometric applications.Motivates further specialized study by building context and familiarity with examples.Suits graduate |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. .Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literat |
| 出版日期 | Textbook 2019 |
| 关键词 | intersection homology; introduction to intersection homology; intersection homology examples; Poincaré |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-27644-7 |
| isbn_softcover | 978-3-030-27646-1 |
| isbn_ebook | 978-3-030-27644-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 18:00:02
