Jürgen Neukirch, Alexander Schmidt, Kay Wingberg, "Cohomology of Number Fields"
2008 | ebook | ISBN-10: 354037888X | 844 pages | PDF | 5 MB
2008 | ebook | ISBN-10: 354037888X | 844 pages | PDF | 5 MB
This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.