Mixed Motives and Algebraic K Theory is popular PDF and ePub book, written by Uwe Jannsen in 1990-02-07, 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, Mixed Motives and Algebraic K Theory can be Read Online from any device for your convenience.
Mixed Motives and Algebraic K Theory Book PDF Summary
The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties.
Detail Book of Mixed Motives and Algebraic K Theory PDF
- Author : Uwe Jannsen
- Release : 07 February 1990
- Publisher : Lecture Notes in Mathematics
- ISBN : STANFORD:36105032515301
- Genre : Mathematics
- Total Page : 268 pages
- Language : English
- PDF File Size : 21,6 Mb
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