Étale Cohomology of Rigid Analytic Varieties and Adic Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Étale Cohomology of Rigid Analytic Varieties and Adic Spaces write by Roland Huber. This book was released on 2013-07-01. Étale Cohomology of Rigid Analytic Varieties and Adic Spaces available in PDF, EPUB and Kindle. Diese Forschungsmonographie von hohem mathematischen Niveau liefert einen neuen Zugang zu den rigid-analytischen Räumen, sowie ihrer etalen Kohomologie.USP: Aus der Froschung: Zahlentheorie und Algebraische Geometrie
Lectures on Formal and Rigid Geometry
Lectures on Formal and Rigid Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Formal and Rigid Geometry write by Siegfried Bosch. This book was released on 2014-08-22. Lectures on Formal and Rigid Geometry available in PDF, EPUB and Kindle. The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".
Berkeley Lectures on P-adic Geometry
Berkeley Lectures on P-adic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Berkeley Lectures on P-adic Geometry write by Peter Scholze. This book was released on 2020-05-26. Berkeley Lectures on P-adic Geometry available in PDF, EPUB and Kindle. Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
Étale Cohomology of Rigid Analytic Spaces
Étale Cohomology of Rigid Analytic Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Étale Cohomology of Rigid Analytic Spaces write by A. J. Jong. This book was released on 1995. Étale Cohomology of Rigid Analytic Spaces available in PDF, EPUB and Kindle.
Rigid Cohomology over Laurent Series Fields
Rigid Cohomology over Laurent Series Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rigid Cohomology over Laurent Series Fields write by Christopher Lazda. This book was released on 2016-04-27. Rigid Cohomology over Laurent Series Fields available in PDF, EPUB and Kindle. 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 material such as rigid cohomology and adic spaces make it as self-contained as possible, and an ideal starting point for graduate students looking to explore aspects of the classical theory of rigid cohomology and with an eye towards future research in the subject.
