| 書(shū)目名稱(chēng) | Rigid Cohomology over Laurent Series Fields | | 編輯 | Christopher Lazda,Ambrus Pál | | 視頻video | http://file.papertrans.cn/831/830378/830378.mp4 | | 概述 | Presents a new cohomology theory for varieties over local function fields, taking values in the category of overconvergent (f,?)-modules.Introduces coefficient objects for this newly developed cohomol | | 叢書(shū)名稱(chēng) | Algebra and Applications | | 圖書(shū)封面 |  | | 描述 | .In this monograph, the authors develop a new theory of?.p.-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot‘s theory of rigid cohomology. Many major fundamental properties of these cohomology groups are proven, such as finite dimensionality and cohomological descent, as well as interpretations in terms of Monsky-Washnitzer cohomology and Le Stum‘s overconvergent site. Applications of this new theory to arithmetic questions, such as .l.-independence and the weight monodromy conjecture, are also discussed..The construction of these cohomology groups, analogous to the Galois representations associated to varieties over local fields in mixed characteristic, fills a major gap in the study of arithmetic cohomology theories over function fields. By extending the scope of existing methods, the results presented here also serve as a first step towards a more general theory of?.p.-adic cohomology over non-perfect ground fields.. .Rigid Cohomology over Laurent Series Fields.?will provide a useful tool for anyone interested in the arithmetic of varieties over local fields of positive characteristic. Appendices on important background mate | | 出版日期 | Book 2016 | | 關(guān)鍵詞 | p-adic cohomology; rigid geometry; local function fields; weight-monodromy; (φ,?)-modules | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-30951-4 | | isbn_softcover | 978-3-319-80926-7 | | isbn_ebook | 978-3-319-30951-4Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer International Publishing Switzerland 2016 |
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