| 书目名称 | De Rham Cohomology of Differential Modules on Algebraic Varieties |
| 编辑 | Yves André,Francesco Baldassarri,Maurizio Cailotto |
| 视频video | |
| 概述 | Simplifies the approach to birational properties of connections, based on a formal analysis of singularities at infinity.Features a discussion on the stability of properties of connections based on hi |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This is the revised second edition of the well-received book by the first two authors. It offers a systematic treatment of the theory of vector bundles with integrable connection on smooth algebraic varieties over a field of characteristic 0. Special attention is paid to singularities along divisors at infinity, and to the corresponding distinction between regular and irregular singularities. The topic is first discussed in detail in dimension 1, with a wealth of examples, and then in higher dimension using the method of restriction to transversal curves...The authors develop a new approach to classical algebraic/analytic comparison theorems in De Rham cohomology, and provide a unified discussion of the complex and the .p.-adic situations while avoiding the resolution of singularities...They conclude with a proof of a conjecture by Baldassarri to the effect that algebraic and .p.-adic analytic De Rham cohomologies coincide, under an arithmetic condition on exponents...As used in this text, the term “De Rham cohomology” refers to the hypercohomology of the De Rham complex of a connection with respect to a smooth morphism of algebraic varieties, equipped with the Gauss-Manin connect |
| 出版日期 | Book 2020Latest edition |
| 关键词 | De Rham cohomology; differential modules; regular singularity; irregular singularity; comparison theorem |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-030-39719-7 |
| isbn_softcover | 978-3-030-39721-0 |
| isbn_ebook | 978-3-030-39719-7Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 18:35:16
