{"product_id":"transcendence-and-linear-relations-of-1-periods-9781316519936","title":"Transcendence and Linear Relations of 1-Periods","description":"\u003cp\u003e • Author(s): Annette Huber | Gisbert Wüstholz\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Hardcover","offer_id":46433103773847,"sku":"9781316519936","price":7887.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781316519936.webp?v=1769307127","url":"https:\/\/atlanticbooks.com\/products\/transcendence-and-linear-relations-of-1-periods-9781316519936","provider":"Atlantic Books","version":"1.0","type":"link"}