Valuations Orderings and Milnor K Theory is popular PDF and ePub book, written by Ido Efrat in 2006, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Valuations Orderings and Milnor K Theory can be Read Online from any device for your convenience.
Valuations Orderings and Milnor K Theory Book PDF Summary
This monograph is a comprehensive exposition of the modern theory of valued and ordered fields. It presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. Deeper cohomological aspects are studied in its last part in an elementary manner. This is done by means of the newly developed theory of generalized Milnor $K$-rings. The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies themin a unified manner. The presentation is almost entirely self-contained. In particular, the text develops the needed machinery of ordered abelian groups. This is then used throughout the text to replace the more classical techniques of commutative algebra. Likewise, the book provides an introductionto the Milnor $K$-theory. The reader is introduced to the valuation-theoretic techniques as used in modern Galois theory, especially in applications to birational anabelian geometry, where one needs to detect valuations from their ``cohomological footprints''. These powerful techniques are presented here for the first time in a unified and elementary way.
Detail Book of Valuations Orderings and Milnor K Theory PDF
- Author : Ido Efrat
- Release : 02 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821840412
- Genre : Mathematics
- Total Page : 305 pages
- Language : English
- PDF File Size : 7,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Valuations Orderings and Milnor K Theory by Ido Efrat, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.