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4 produkter
4 produkter
1 369 kr
Skickas inom 7-10 vardagar
This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
893 kr
Skickas inom 5-8 vardagar
This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives.
898 kr
Skickas inom 5-8 vardagar
This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives.
Del 1604 - Lecture Notes in Mathematics
Mixed Motives and their Realization in Derived Categories
Häftad, Engelska, 1995
538 kr
Skickas inom 10-15 vardagar
The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. This text describes the approach to motives via their well-defined realizations, including 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, and so the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature.