Ever 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.As 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.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 t-motives.This volume is aimed at a wide audience of graduate students, mathematicians, and researchers interested in geometry and arithmetic and their connections.
Populaire auteurs
Cram101 Textbook Reviews (948) J.S. Bach (447) Wolfgang Amadeus Mozart (305) Collectif (268) Schrijf als eerste een recensie over dit item (259) Doug Gelbert (238) Princess of Patterns (211) Charles Dickens (209) R.B. Grimm (197) Carolyn Keene (187) Jules Verne (183) Philipp Winterberg (180) William Shakespeare (174) Youscribe (172) Lucas Nicolato (169) Edgar Allan Poe (166) Herman Melville (166) Anonymous (165) Gilad Soffer (164) Robert Louis Stevenson (159)Populaire gewichtsboeken
418 KB 425 KB 435 KB 459 KB 445 KB 439 KB 386 KB 413 KB 493 KB 432 KB 455 KB 471 KB 421 KB 451 KB 485 KB 472 KB 416 KB 369 KB 419 KB 427 KB