{"product_id":"transcendence-and-linear-relations-of-1periods-9781316519936","title":"Transcendence and Linear Relations of 1-Periods","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\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. 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 and serves as an introduction to transcendence for graduate students and newcomers. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 263 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 26 May 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Cambridge University Press\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis extensive examination of the connection between periods and transcendental numbers expands Baker's theory of linear forms in logarithms to its broadest framework, known as the theory of 1-motives. Authored by renowned experts in the field, it presents groundbreaking findings and concludes the theory of linear relations of 1-periods, resolving long-standing questions in transcendence theory. While offering a comprehensive exposition of the new theory for researchers, it also serves as an accessible introduction to transcendence for graduate students and newcomers. The text begins with foundational material, encompassing a review of commutative algebraic groups, the analytic subgroup theorem, singular homology, and de Rham cohomology. Part II delves into periods of 1-motives, drawing connections to classical examples such as the transcendence of π, before transitioning to periods of algebraic varieties in Part III. Finally, Part IV aims to establish a dimension formula for the space of periods of a 1-motive, utilizing its data.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 536g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 159 x 236 x 28 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9781316519936\u003c\/p\u003e","brand":"AnnetteHuber,GisbertWustholz","offers":[{"title":"Hardback","offer_id":44232515715322,"sku":"9781316519936","price":94.25,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1683888312193_book.jpg?v=1683959257","url":"https:\/\/shulphink.com\/products\/transcendence-and-linear-relations-of-1periods-9781316519936","provider":"Shulph Ink","version":"1.0","type":"link"}