Rreth këtij libri elektronik
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.
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.
Rreth autorit
J. S. Milne is Professor Emeritus of Mathematics at the University of Michigan at Ann Arbor.
Vlerëso këtë libër elektronik
Na trego se çfarë mendon.
Informacione për leximin
Telefona inteligjentë dhe tabletë
Instalo aplikacionin "Librat e Google Play" për Android dhe iPad/iPhone. Ai sinkronizohet automatikisht me llogarinë tënde dhe të lejon të lexosh online dhe offline kudo që të ndodhesh.
Laptopë dhe kompjuterë
Mund të dëgjosh librat me audio të blerë në Google Play duke përdorur shfletuesin e uebit të kompjuterit.
Lexuesit elektronikë dhe pajisjet e tjera
Për të lexuar në pajisjet me bojë elektronike si p.sh. lexuesit e librave elektronikë Kobo, do të të duhet të shkarkosh një skedar dhe ta transferosh atë te pajisja jote. Ndiq udhëzimet e detajuara në Qendrën e ndihmës për të transferuar skedarët te lexuesit e mbështetur të librave elektronikë.
