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Author : Jan Nagel
Release : 2007-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 740/5 ( reviews)
Book Synopsis Algebraic Cycles and Motives: Volume 1 by : Jan Nagel
Download or read book Algebraic Cycles and Motives: Volume 1 written by Jan Nagel. This book was released on 2007-05-03. Available in PDF, EPUB and Kindle. Book excerpt: This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
Author : Jan Nagel
Release : 2007-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 759/5 ( reviews)
Book Synopsis Algebraic Cycles and Motives: Volume 2 by : Jan Nagel
Download or read book Algebraic Cycles and Motives: Volume 2 written by Jan Nagel. This book was released on 2007-05-03. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of the subject of algebraic cycles and motives as it stands.
Author :
Release : 1994-02-28
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)
Book Synopsis Motives by :
Download or read book Motives written by . This book was released on 1994-02-28. Available in PDF, EPUB and Kindle. Book excerpt: 'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
Author : Burt Totaro
Release : 2014-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 774/5 ( reviews)
Book Synopsis Group Cohomology and Algebraic Cycles by : Burt Totaro
Download or read book Group Cohomology and Algebraic Cycles written by Burt Totaro. This book was released on 2014-06-26. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.
Author : Uwe Jannsen
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 419/5 ( reviews)
Book Synopsis Mixed Motives and Algebraic K-Theory by : Uwe Jannsen
Download or read book Mixed Motives and Algebraic K-Theory written by Uwe Jannsen. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.
