{"product_id":"number-fields-and-function-fields-two-parallel-worlds-von-gerard-b-m-van-der-geer-bjj-moonen-rene-schoof-gerard-b-m-van-der-geer-bjj-moonen-rene-schoof-hrsg","title":"Number Fields and Function Fields – Two Parallel Worlds","description":"\n                                \n                \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                                \n                \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                                \n                \n                \u003cp\u003e\n                                        These 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 \n                    \n                    \u003cem\u003et\u003c\/em\u003e\n                                        -motives.\n                \n                \u003c\/p\u003e\n                                \n                \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\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780817643973\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9780817643973","offer_id":15430790971485,"sku":"9780817643973","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a89bf527-e1c9-43d4-85ee-2d40dc745cf8.jpg?v=1772168615","url":"https:\/\/shop.autorenwelt.de\/products\/number-fields-and-function-fields-two-parallel-worlds-von-gerard-b-m-van-der-geer-bjj-moonen-rene-schoof-gerard-b-m-van-der-geer-bjj-moonen-rene-schoof-hrsg","provider":"Autorenwelt Shop","version":"1.0","type":"link"}