Mixed motives and their realization in derived categories
By: Annette Huber.
Series: Lecture notes in mathematics ;; 1604; Lecture notes in mathematics (Springer-Verlag) ;; 1604.
Publisher: Springer-Verlag
Published: 1995
Place of publication: Berlin; New York
Language: eng
Number of pages: 207
Subjects: Motives (Mathematics); Homology theory
Description: The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied. The book assumes knowledge of the standard cohomological techniques in algebraic geometry as well as K-theory. So the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature.
Notes: Includes bibliographical references (p. [197]-201) and index.