图书名称:Rigid Cohomology over Laurent Series Fields
作者:Christopher Lazda, Ambrus Pál
出版社:Springer International Publishing
页数:271
出版时间:2016
语言:English
格式:pdf
内容简介:
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.