Introduction to Étale Cohomology - 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 Introduction to Étale Cohomology write by Günter Tamme. This book was released on 2012-12-06. Introduction to Étale Cohomology available in PDF, EPUB and Kindle. A succinct introduction to etale cohomology. Well-presented and chosen this will be a most welcome addition to the algebraic geometrist's library.
Étale Cohomology
Étale Cohomology - 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 write by James S. Milne. This book was released on 2016-10-11. Étale Cohomology available in PDF, EPUB and Kindle. One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Etale Cohomology and the Weil Conjecture
Etale Cohomology and the Weil Conjecture - 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 Etale Cohomology and the Weil Conjecture write by Eberhard Freitag. This book was released on 2013-03-14. Etale Cohomology and the Weil Conjecture available in PDF, EPUB and Kindle. Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.
Etale Cohomology Theory
Etale Cohomology Theory - 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 Etale Cohomology Theory write by Lei Fu. This book was released on 2011-01-31. Etale Cohomology Theory available in PDF, EPUB and Kindle. New Edition available hereEtale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra.
Étale Cohomology of Rigid Analytic Varieties and Adic Spaces
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
