{"product_id":"9780817643973","title":"Progress in Mathematics","description":"\u003ch1\u003eProgress in Mathematics\u003c\/h1\u003e \u003ch2\u003evan der Geer, Gerard B. M.; Moonen, BJJ; Schoof, René\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eEver since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject.\u003c\/p\u003e\n\u003cp\u003eAs a deeper understanding of this analogy could have tremendous consequences, the search for a unified approach has become a sort of Holy Grail. The arrival of Arakelov's new geometry that tries to put the archimedean places on a par with the finite ones gave a new impetus and led to spectacular success in Faltings' hands. There are numerous further examples where ideas or techniques from the more geometrically-oriented world of function fields have led to new insights in the more arithmetically-oriented world of number fields, or vice versa.\u003c\/p\u003e\n\u003cp\u003eThese invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and \u003cem\u003et\u003c\/em\u003e-motives.\u003c\/p\u003e\n\u003cp\u003eThis volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2005-09-14\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817643973\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/0-8176-4447-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 321\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":47380138033292,"sku":"9780817643973","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817643973.jpg?v=1775736178","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780817643973","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}