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Moments, monodromy, and perversity : a diophantine perspective /

It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably ""pure"" algebro-geometric families of character sums over finite fields (and of their associated...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Katz, Nicholas M., 1943-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2005.
Colección:Annals of mathematics studies ; no. 159.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably ""pure"" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a ""generalized Sato-Tate law, "" and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the ""geometric monodromy
Descripción Física:1 online resource (viii, 475 pages)
Bibliografía:Includes bibliographical references (pages 455-460) and indexes.
ISBN:1400826950
9781400826957
9780691123295
0691123292
9780691123301
0691123306