Weil conjectures, perverse sheaves, and l'adic Fourier transform / Reinhardt Kiehl, Rainer Weissauer
Type de document : Livre numériqueCollection : Ergebnisse der mathematik und ihrer grenzgebiete, 42Langue : anglais.Éditeur : Berlin : Springer, cop. 2001ISBN: 9783540414575.ISSN: 0071-1136.Sujet MSC : 14F10, (Co)homology theory in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials14G20, Arithmetic problems in algebraic geometry. Diophantine geometry, Local ground fields
11G25, Arithmetic algebraic geometry (Diophantine geometry), Varieties over finite and local fields
14F30, (Co)homology theory in algebraic geometry, p-adic cohomology, crystalline cohomology
18G80, Homological algebra in category theory, derived categories and functors, Derived categories, triangulated categoriesEn-ligne : Springerlink | MSN | Zentralblatt
This book is both a continuation and a complement to E. Freitag and R. Kiehl’s book on “Étale cohomology and the Weil conjecture”. Among other important things, the book gives a clear account of P. Deligne’s generalized Weil conjecture mostly cited as “Weil II”. This conjecture has had important consequences and applications, and many of them are presented in the book as well. ...This book will be very useful for those interested in number theory from the viewpoint of algebraic geometry as well as for those who seek for an introduction to the topics covered by the book, like perverse sheaves, derived categories, t-structures or Deligne weights, among others. (zbMath)
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