{ "item_title" : "Transcendence and Linear Relations of 1-Periods", "item_author" : [" Annette Huber", "Gisbert Wüstholz "], "item_description" : "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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/1/31/651/993/1316519937_b.jpg", "price_data" : { "retail_price" : "140.00", "online_price" : "140.00", "our_price" : "140.00", "club_price" : "140.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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